Atkin-Lehner |
2- 3+ 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
25410ca |
Isogeny class |
Conductor |
25410 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
1571445469440 = 28 · 32 · 5 · 7 · 117 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 11- 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-9380,340517] |
[a1,a2,a3,a4,a6] |
j |
51520374361/887040 |
j-invariant |
L |
3.3873490222646 |
L(r)(E,1)/r! |
Ω |
0.84683725556616 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
76230q1 127050dl1 2310d1 |
Quadratic twists by: -3 5 -11 |