Atkin-Lehner |
2+ 5+ 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
66470a |
Isogeny class |
Conductor |
66470 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-4.5760211636344E+22 |
Discriminant |
Eigenvalues |
2+ 2 5+ -2 6 -1 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-170309873,-855608916523] |
[a1,a2,a3,a4,a6] |
Generators |
[973266111034430530266038911623320357225000571472226962509705779758701073450147326042457926475474646:102942441040770931492998853481060576894178600207394177670931221456340232611094305763738358598664551035:45868105417762611000276427548248109352226158544601620063807358610903811095050499215056610502184] |
Generators of the group modulo torsion |
j |
-22633392930067758529081/1895808630784000 |
j-invariant |
L |
6.3833972704958 |
L(r)(E,1)/r! |
Ω |
0.020895723837133 |
Real period |
R |
152.74410497214 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3910f2 |
Quadratic twists by: 17 |