Atkin-Lehner |
7- 31+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
56203a |
Isogeny class |
Conductor |
56203 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
18720 |
Modular degree for the optimal curve |
Δ |
4183245493 = 76 · 312 · 37 |
Discriminant |
Eigenvalues |
0 1 2 7- -3 2 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-457,-2271] |
[a1,a2,a3,a4,a6] |
j |
89915392/35557 |
j-invariant |
L |
2.1361109981313 |
L(r)(E,1)/r! |
Ω |
1.0680555015744 |
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 |
1147a1 |
Quadratic twists by: -7 |