Atkin-Lehner |
2- 3- 37- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
31302m |
Isogeny class |
Conductor |
31302 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
15232 |
Modular degree for the optimal curve |
Δ |
-486808704 = -1 · 27 · 37 · 37 · 47 |
Discriminant |
Eigenvalues |
2- 3- -1 -4 -4 0 -7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-113,1185] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:-36:1] [-98:243:8] |
Generators of the group modulo torsion |
j |
-217081801/667776 |
j-invariant |
L |
10.366191983383 |
L(r)(E,1)/r! |
Ω |
1.4574988451344 |
Real period |
R |
0.25401127657809 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10434b1 |
Quadratic twists by: -3 |