Atkin-Lehner |
2- 3- 5- 67- |
Signs for the Atkin-Lehner involutions |
Class |
96480bf |
Isogeny class |
Conductor |
96480 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
-1125342720000 = -1 · 212 · 38 · 54 · 67 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 0 0 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9192,-343024] |
[a1,a2,a3,a4,a6] |
Generators |
[112:180:1] |
Generators of the group modulo torsion |
j |
-28765126144/376875 |
j-invariant |
L |
6.9202861244538 |
L(r)(E,1)/r! |
Ω |
0.24360065363974 |
Real period |
R |
1.7755202080779 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999893652 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96480k1 32160b1 |
Quadratic twists by: -4 -3 |