Atkin-Lehner |
2- 3- 5- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
65100bg |
Isogeny class |
Conductor |
65100 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
293760 |
Modular degree for the optimal curve |
Δ |
1094135700000000 = 28 · 3 · 58 · 76 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -1 4 -5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-32333,1562463] |
[a1,a2,a3,a4,a6] |
Generators |
[-126:1911:1] |
Generators of the group modulo torsion |
j |
37383086080/10941357 |
j-invariant |
L |
8.09424906307 |
L(r)(E,1)/r! |
Ω |
0.45542126813357 |
Real period |
R |
2.9621838171806 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000345 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
65100a1 |
Quadratic twists by: 5 |