Atkin-Lehner |
2- 3+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
39984cc |
Isogeny class |
Conductor |
39984 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
314496 |
Modular degree for the optimal curve |
Δ |
-18056432582221824 = -1 · 213 · 33 · 710 · 172 |
Discriminant |
Eigenvalues |
2- 3+ -1 7- 1 -2 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-327336,72482544] |
[a1,a2,a3,a4,a6] |
j |
-3352478521/15606 |
j-invariant |
L |
1.5600704138639 |
L(r)(E,1)/r! |
Ω |
0.39001760347168 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4998s1 119952ep1 39984cq1 |
Quadratic twists by: -4 -3 -7 |