Atkin-Lehner |
7+ 11- 89- |
Signs for the Atkin-Lehner involutions |
Class |
75383b |
Isogeny class |
Conductor |
75383 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
-18549591827921 = -1 · 76 · 116 · 89 |
Discriminant |
Eigenvalues |
-1 -1 1 7+ 11- -2 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,3325,-192246] |
[a1,a2,a3,a4,a6] |
Generators |
[108:1146:1] |
Generators of the group modulo torsion |
j |
2294744759/10470761 |
j-invariant |
L |
2.919772546377 |
L(r)(E,1)/r! |
Ω |
0.34741694114919 |
Real period |
R |
2.1010579797608 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001215 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
623a1 |
Quadratic twists by: -11 |