Atkin-Lehner |
2- 3+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
25872bh |
Isogeny class |
Conductor |
25872 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-57297207035376 = -1 · 24 · 33 · 77 · 115 |
Discriminant |
Eigenvalues |
2- 3+ 1 7- 11+ 1 -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,670,363903] |
[a1,a2,a3,a4,a6] |
Generators |
[-51:441:1] |
Generators of the group modulo torsion |
j |
17643776/30438639 |
j-invariant |
L |
4.5922762416728 |
L(r)(E,1)/r! |
Ω |
0.49108215822553 |
Real period |
R |
2.3378350061966 |
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 |
6468o1 103488ii1 77616gc1 3696y1 |
Quadratic twists by: -4 8 -3 -7 |