Atkin-Lehner |
2- 5+ 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
75950cb |
Isogeny class |
Conductor |
75950 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
241823232 |
Modular degree for the optimal curve |
Δ |
-3.2494597072272E+31 |
Discriminant |
Eigenvalues |
2- -2 5+ 7+ 3 1 2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,2565874562,269659834503492] |
[a1,a2,a3,a4,a6] |
Generators |
[26732:18890434:1] |
Generators of the group modulo torsion |
j |
20740806010942016877479/360750390625000000000 |
j-invariant |
L |
6.5532483374514 |
L(r)(E,1)/r! |
Ω |
0.015476106926626 |
Real period |
R |
5.8811520524048 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000593 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15190n1 75950ch1 |
Quadratic twists by: 5 -7 |