Atkin-Lehner |
2+ 5- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
74800p |
Isogeny class |
Conductor |
74800 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-2262700000000 = -1 · 28 · 58 · 113 · 17 |
Discriminant |
Eigenvalues |
2+ 0 5- -3 11+ -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-500,-72500] |
[a1,a2,a3,a4,a6] |
Generators |
[450:2225:8] |
Generators of the group modulo torsion |
j |
-138240/22627 |
j-invariant |
L |
4.0470231238684 |
L(r)(E,1)/r! |
Ω |
0.36510382384158 |
Real period |
R |
3.694860530337 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999982858 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37400w1 74800a1 |
Quadratic twists by: -4 5 |