Atkin-Lehner |
2+ 3- 5+ 13- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
118950s |
Isogeny class |
Conductor |
118950 |
Conductor |
∏ cp |
220 |
Product of Tamagawa factors cp |
deg |
38438400 |
Modular degree for the optimal curve |
Δ |
-4.012179905331E+25 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 -3 13- 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,83809474,-75243721552] |
[a1,a2,a3,a4,a6] |
Generators |
[1272:182176:1] |
Generators of the group modulo torsion |
j |
4166611790519276825869871/2567795139411840000000 |
j-invariant |
L |
7.2473461699945 |
L(r)(E,1)/r! |
Ω |
0.037312721379775 |
Real period |
R |
0.88287536844032 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999864017 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23790j1 |
Quadratic twists by: 5 |