Atkin-Lehner |
5+ 37- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
73075d |
Isogeny class |
Conductor |
73075 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
248832 |
Modular degree for the optimal curve |
Δ |
4939458953125 = 56 · 373 · 792 |
Discriminant |
Eigenvalues |
-2 1 5+ -5 -5 0 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-4958,79744] |
[a1,a2,a3,a4,a6] |
Generators |
[-518:2919:8] [-37:462:1] |
Generators of the group modulo torsion |
j |
862801408000/316125373 |
j-invariant |
L |
4.8255772433989 |
L(r)(E,1)/r! |
Ω |
0.70333086429429 |
Real period |
R |
0.57175286535466 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999324 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2923a1 |
Quadratic twists by: 5 |