Atkin-Lehner |
2- 3- 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
37296bs |
Isogeny class |
Conductor |
37296 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-62642958336 = -1 · 212 · 310 · 7 · 37 |
Discriminant |
Eigenvalues |
2- 3- -3 7+ -1 -1 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-24384,-1465616] |
[a1,a2,a3,a4,a6] |
Generators |
[355795:4437963:1331] |
Generators of the group modulo torsion |
j |
-536971313152/20979 |
j-invariant |
L |
3.6586163206885 |
L(r)(E,1)/r! |
Ω |
0.19102592158699 |
Real period |
R |
9.5762299961544 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999991 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2331f1 12432bo1 |
Quadratic twists by: -4 -3 |