Atkin-Lehner |
2+ 3- 23- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
98394s |
Isogeny class |
Conductor |
98394 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
760320 |
Modular degree for the optimal curve |
Δ |
-4719333216974184 = -1 · 23 · 35 · 238 · 31 |
Discriminant |
Eigenvalues |
2+ 3- -1 4 -1 1 3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-173259,-27968642] |
[a1,a2,a3,a4,a6] |
Generators |
[35542:2340507:8] |
Generators of the group modulo torsion |
j |
-3885442650361/31879656 |
j-invariant |
L |
6.8105506775443 |
L(r)(E,1)/r! |
Ω |
0.11694541779438 |
Real period |
R |
5.8237003207741 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009283 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4278f1 |
Quadratic twists by: -23 |