Atkin-Lehner |
11+ 13+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
98527c |
Isogeny class |
Conductor |
98527 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1854720 |
Modular degree for the optimal curve |
Δ |
-369030263608888739 = -1 · 115 · 138 · 532 |
Discriminant |
Eigenvalues |
0 -3 3 4 11+ 13+ -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,131144,22805409] |
[a1,a2,a3,a4,a6] |
Generators |
[2747:145299:1] |
Generators of the group modulo torsion |
j |
51678378196992/76454291771 |
j-invariant |
L |
4.9221748284866 |
L(r)(E,1)/r! |
Ω |
0.20475939374858 |
Real period |
R |
6.0097057502992 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008801 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7579d1 |
Quadratic twists by: 13 |