Atkin-Lehner |
2+ 3- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
85176p |
Isogeny class |
Conductor |
85176 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
430080 |
Modular degree for the optimal curve |
Δ |
245917963968768 = 28 · 37 · 7 · 137 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ -4 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-140439,-20243158] |
[a1,a2,a3,a4,a6] |
j |
340062928/273 |
j-invariant |
L |
0.98652593514597 |
L(r)(E,1)/r! |
Ω |
0.24663150444739 |
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 |
28392r1 6552v1 |
Quadratic twists by: -3 13 |