Atkin-Lehner |
2+ 3+ 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
40362a |
Isogeny class |
Conductor |
40362 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
257400 |
Modular degree for the optimal curve |
Δ |
-23438905782018048 = -1 · 213 · 311 · 75 · 312 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7+ 0 -1 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,13605,-7334883] |
[a1,a2,a3,a4,a6] |
j |
289765104938375/24390120480768 |
j-invariant |
L |
0.18054318604634 |
L(r)(E,1)/r! |
Ω |
0.18054318605985 |
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 |
121086v1 40362m1 |
Quadratic twists by: -3 -31 |