Atkin-Lehner |
2- 3- 5+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
74700l |
Isogeny class |
Conductor |
74700 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
253440 |
Modular degree for the optimal curve |
Δ |
-765791718750000 = -1 · 24 · 310 · 510 · 83 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 -5 4 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,15000,1128125] |
[a1,a2,a3,a4,a6] |
j |
3276800/6723 |
j-invariant |
L |
1.3971138739793 |
L(r)(E,1)/r! |
Ω |
0.34927846995717 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24900a1 74700r1 |
Quadratic twists by: -3 5 |