Atkin-Lehner |
3- 7- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
37191j |
Isogeny class |
Conductor |
37191 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-25713235937980899 = -1 · 32 · 79 · 11 · 235 |
Discriminant |
Eigenvalues |
2 3- 3 7- 11- -2 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-7954,7717189] |
[a1,a2,a3,a4,a6] |
Generators |
[26084:544309:64] |
Generators of the group modulo torsion |
j |
-473093337088/218558899251 |
j-invariant |
L |
16.652923722562 |
L(r)(E,1)/r! |
Ω |
0.30549566574965 |
Real period |
R |
1.3627790497205 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111573bb1 5313a1 |
Quadratic twists by: -3 -7 |