Atkin-Lehner |
2- 3+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
89376bh |
Isogeny class |
Conductor |
89376 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
75264 |
Modular degree for the optimal curve |
Δ |
-63089982144 = -1 · 26 · 32 · 78 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 3 7+ 1 4 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-114,12132] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:98:1] |
Generators of the group modulo torsion |
j |
-448/171 |
j-invariant |
L |
7.833977747528 |
L(r)(E,1)/r! |
Ω |
0.89764185636583 |
Real period |
R |
0.72727388342881 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002347 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89376cg1 89376cr1 |
Quadratic twists by: -4 -7 |