Atkin-Lehner |
2- 5- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
75020i |
Isogeny class |
Conductor |
75020 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
50976 |
Modular degree for the optimal curve |
Δ |
-120032000 = -1 · 28 · 53 · 112 · 31 |
Discriminant |
Eigenvalues |
2- -3 5- 4 11- -1 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-352,2596] |
[a1,a2,a3,a4,a6] |
Generators |
[12:10:1] |
Generators of the group modulo torsion |
j |
-155713536/3875 |
j-invariant |
L |
4.8821211423006 |
L(r)(E,1)/r! |
Ω |
1.8601493155167 |
Real period |
R |
0.29162062428551 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000826 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75020j1 |
Quadratic twists by: -11 |