Atkin-Lehner |
2- 3- 5- 17+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
120870bl |
Isogeny class |
Conductor |
120870 |
Conductor |
∏ cp |
448 |
Product of Tamagawa factors cp |
Δ |
392615128354406400 = 214 · 312 · 52 · 172 · 792 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 -4 -6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-820427,284639451] |
[a1,a2,a3,a4,a6] |
Generators |
[851:-14646:1] |
Generators of the group modulo torsion |
j |
83775209164913991529/538566705561600 |
j-invariant |
L |
7.1645310342845 |
L(r)(E,1)/r! |
Ω |
0.30181682023949 |
Real period |
R |
0.84778609822068 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000154727 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
40290e2 |
Quadratic twists by: -3 |