Atkin-Lehner |
2- 7- 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
85652c |
Isogeny class |
Conductor |
85652 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
132438891088 = 24 · 77 · 19 · 232 |
Discriminant |
Eigenvalues |
2- 0 4 7- -4 2 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2548,46305] |
[a1,a2,a3,a4,a6] |
j |
971882496/70357 |
j-invariant |
L |
3.0544689236413 |
L(r)(E,1)/r! |
Ω |
1.0181563399791 |
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 |
12236f1 |
Quadratic twists by: -7 |