Atkin-Lehner |
2- 3+ 5- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
34320bm |
Isogeny class |
Conductor |
34320 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
2653488414720 = 218 · 32 · 5 · 113 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 11- 13- 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-36345160,84349085680] |
[a1,a2,a3,a4,a6] |
Generators |
[3442:3978:1] |
Generators of the group modulo torsion |
j |
1296294060988412126189641/647824320 |
j-invariant |
L |
5.2117163048247 |
L(r)(E,1)/r! |
Ω |
0.34478672259718 |
Real period |
R |
2.5192947616844 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4290o4 102960di4 |
Quadratic twists by: -4 -3 |