Atkin-Lehner |
3- 19- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
6327c |
Isogeny class |
Conductor |
6327 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
10080 |
Modular degree for the optimal curve |
Δ |
18249179819733 = 36 · 192 · 375 |
Discriminant |
Eigenvalues |
0 3- 2 -1 -3 6 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-6624,-28546] |
[a1,a2,a3,a4,a6] |
Generators |
[-74:237:1] |
Generators of the group modulo torsion |
j |
44091731607552/25033168477 |
j-invariant |
L |
3.6729272621605 |
L(r)(E,1)/r! |
Ω |
0.57144024002621 |
Real period |
R |
3.2137457295552 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101232u1 703a1 120213j1 |
Quadratic twists by: -4 -3 -19 |