Atkin-Lehner |
2- 3- 19+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
25308d |
Isogeny class |
Conductor |
25308 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
86400 |
Modular degree for the optimal curve |
Δ |
1231932945376512 = 28 · 36 · 194 · 373 |
Discriminant |
Eigenvalues |
2- 3- -2 -3 -5 2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-29496,-974716] |
[a1,a2,a3,a4,a6] |
Generators |
[-136:722:1] |
Generators of the group modulo torsion |
j |
15207071653888/6601149613 |
j-invariant |
L |
3.1864029194645 |
L(r)(E,1)/r! |
Ω |
0.37900027540584 |
Real period |
R |
1.4012315760863 |
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 |
101232bj1 2812a1 |
Quadratic twists by: -4 -3 |