Atkin-Lehner |
2- 3+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
25578bb |
Isogeny class |
Conductor |
25578 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
-16177599631872 = -1 · 29 · 33 · 79 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- -3 1 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,5650,102141] |
[a1,a2,a3,a4,a6] |
Generators |
[149:1983:1] |
Generators of the group modulo torsion |
j |
6280426125/5092864 |
j-invariant |
L |
8.1844041677199 |
L(r)(E,1)/r! |
Ω |
0.44931704550641 |
Real period |
R |
0.25298902243761 |
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 |
25578e2 3654p1 |
Quadratic twists by: -3 -7 |