Atkin-Lehner |
2- 19- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
96748d |
Isogeny class |
Conductor |
96748 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
144720 |
Modular degree for the optimal curve |
Δ |
-18206379579952 = -1 · 24 · 198 · 67 |
Discriminant |
Eigenvalues |
2- 0 2 2 6 0 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,5776,-116603] |
[a1,a2,a3,a4,a6] |
Generators |
[639732745253500080:-9218860661339218261:3573156367872000] |
Generators of the group modulo torsion |
j |
28311552/24187 |
j-invariant |
L |
9.4560934509901 |
L(r)(E,1)/r! |
Ω |
0.38033104291642 |
Real period |
R |
24.862796826426 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004417 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5092a1 |
Quadratic twists by: -19 |