Atkin-Lehner |
2- 5+ 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
25840v |
Isogeny class |
Conductor |
25840 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
67584 |
Modular degree for the optimal curve |
Δ |
90745118720000 = 216 · 54 · 17 · 194 |
Discriminant |
Eigenvalues |
2- 0 5+ 4 -4 -2 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-11243,22042] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:350:1] |
Generators of the group modulo torsion |
j |
38371643079489/22154570000 |
j-invariant |
L |
4.9357617307116 |
L(r)(E,1)/r! |
Ω |
0.51258560427655 |
Real period |
R |
2.4072865534713 |
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 |
3230e1 103360co1 129200bf1 |
Quadratic twists by: -4 8 5 |