Atkin-Lehner |
2- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
25168x |
Isogeny class |
Conductor |
25168 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
1115001192448 = 222 · 112 · 133 |
Discriminant |
Eigenvalues |
2- -1 0 2 11- 13+ -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-19488,1052416] |
[a1,a2,a3,a4,a6] |
Generators |
[112:512:1] |
Generators of the group modulo torsion |
j |
1651590939625/2249728 |
j-invariant |
L |
4.2505104836438 |
L(r)(E,1)/r! |
Ω |
0.86859999507169 |
Real period |
R |
1.2233797224731 |
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 |
3146k1 100672dk1 25168bl1 |
Quadratic twists by: -4 8 -11 |