Atkin-Lehner |
2- 3- 5+ 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
36630bc |
Isogeny class |
Conductor |
36630 |
Conductor |
∏ cp |
124 |
Product of Tamagawa factors cp |
deg |
666624 |
Modular degree for the optimal curve |
Δ |
6967397534285168640 = 231 · 313 · 5 · 11 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 11+ 1 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-509558,-58802043] |
[a1,a2,a3,a4,a6] |
Generators |
[-535:8043:1] |
Generators of the group modulo torsion |
j |
20071334919501405721/9557472612188160 |
j-invariant |
L |
7.9618463833537 |
L(r)(E,1)/r! |
Ω |
0.18727174826308 |
Real period |
R |
0.34286238672387 |
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 |
12210j1 |
Quadratic twists by: -3 |