Atkin-Lehner |
2+ 3- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
127050cr |
Isogeny class |
Conductor |
127050 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
7372800 |
Modular degree for the optimal curve |
Δ |
4.2240454218547E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 11- 2 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1949676,346483498] |
[a1,a2,a3,a4,a6] |
Generators |
[-1178:32351:1] |
Generators of the group modulo torsion |
j |
29609739866953/15259926528 |
j-invariant |
L |
7.1980222711627 |
L(r)(E,1)/r! |
Ω |
0.14785156030417 |
Real period |
R |
2.028504758922 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000031366 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5082u1 11550cl1 |
Quadratic twists by: 5 -11 |