Atkin-Lehner |
3- 23- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
49197i |
Isogeny class |
Conductor |
49197 |
Conductor |
∏ cp |
34 |
Product of Tamagawa factors cp |
deg |
502656 |
Modular degree for the optimal curve |
Δ |
-63090472158705267 = -1 · 317 · 232 · 314 |
Discriminant |
Eigenvalues |
0 3- 2 -5 2 1 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-85437,-15469846] |
[a1,a2,a3,a4,a6] |
Generators |
[7866:233519:8] |
Generators of the group modulo torsion |
j |
-130380035283484672/119263652473923 |
j-invariant |
L |
5.2136616964738 |
L(r)(E,1)/r! |
Ω |
0.13453581303751 |
Real period |
R |
1.1397930975499 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999565 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49197j1 |
Quadratic twists by: -23 |