Atkin-Lehner |
3+ 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
40425r |
Isogeny class |
Conductor |
40425 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
51840 |
Modular degree for the optimal curve |
Δ |
-22511671875 = -1 · 35 · 56 · 72 · 112 |
Discriminant |
Eigenvalues |
2 3+ 5+ 7- 11+ -5 6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,292,-7057] |
[a1,a2,a3,a4,a6] |
j |
3584000/29403 |
j-invariant |
L |
2.3899908451554 |
L(r)(E,1)/r! |
Ω |
0.59749771133597 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121275ev1 1617i1 40425bu1 |
Quadratic twists by: -3 5 -7 |