Atkin-Lehner |
2- 5- 11- 73- |
Signs for the Atkin-Lehner involutions |
Class |
88330bj |
Isogeny class |
Conductor |
88330 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
1036800 |
Modular degree for the optimal curve |
Δ |
-314137581133475000 = -1 · 23 · 55 · 119 · 732 |
Discriminant |
Eigenvalues |
2- -1 5- 3 11- 0 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-220525,48032667] |
[a1,a2,a3,a4,a6] |
Generators |
[17:6646:1] |
Generators of the group modulo torsion |
j |
-669485563505641/177322475000 |
j-invariant |
L |
10.640888997765 |
L(r)(E,1)/r! |
Ω |
0.29074104160433 |
Real period |
R |
0.30499331805358 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000915 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8030f1 |
Quadratic twists by: -11 |