Atkin-Lehner |
2+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
118976s |
Isogeny class |
Conductor |
118976 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
731136 |
Modular degree for the optimal curve |
Δ |
-97052378261696 = -1 · 26 · 11 · 1310 |
Discriminant |
Eigenvalues |
2+ -3 1 4 11+ 13+ -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,10478,232882] |
[a1,a2,a3,a4,a6] |
Generators |
[6045:115427:125] |
Generators of the group modulo torsion |
j |
411830784/314171 |
j-invariant |
L |
4.3002225587315 |
L(r)(E,1)/r! |
Ω |
0.38416970472244 |
Real period |
R |
5.5967746047604 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000149094 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118976bo1 59488y1 9152p1 |
Quadratic twists by: -4 8 13 |