Atkin-Lehner |
2- 3+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
89376ca |
Isogeny class |
Conductor |
89376 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1548288 |
Modular degree for the optimal curve |
Δ |
36809408452041792 = 26 · 37 · 712 · 19 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- -6 -6 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-667494,209922840] |
[a1,a2,a3,a4,a6] |
j |
4368157081239232/4888668897 |
j-invariant |
L |
0.72854119844418 |
L(r)(E,1)/r! |
Ω |
0.36427054673713 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
89376cq1 12768w1 |
Quadratic twists by: -4 -7 |