Atkin-Lehner |
2- 7- 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
39494y |
Isogeny class |
Conductor |
39494 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
-6779996274688 = -1 · 216 · 72 · 133 · 312 |
Discriminant |
Eigenvalues |
2- -2 -2 7- -3 13- 7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,3471,-97175] |
[a1,a2,a3,a4,a6] |
Generators |
[78:-845:1] |
Generators of the group modulo torsion |
j |
94380799739807/138367270912 |
j-invariant |
L |
4.8600554107225 |
L(r)(E,1)/r! |
Ω |
0.39685942769969 |
Real period |
R |
0.12756551479314 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39494q1 |
Quadratic twists by: -7 |