Atkin-Lehner |
2+ 3- 7- 19- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
88578q |
Isogeny class |
Conductor |
88578 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
14131200 |
Modular degree for the optimal curve |
Δ |
1.0895930799521E+23 |
Discriminant |
Eigenvalues |
2+ 3- 3 7- 3 -4 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-12386988,-5414829872] |
[a1,a2,a3,a4,a6] |
j |
288332338389484479797953/149464071324013953024 |
j-invariant |
L |
3.4063204135529 |
L(r)(E,1)/r! |
Ω |
0.085158006820127 |
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 |
29526q1 |
Quadratic twists by: -3 |