Atkin-Lehner |
2- 7- 17- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
61642w |
Isogeny class |
Conductor |
61642 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
502656 |
Modular degree for the optimal curve |
Δ |
69497062682614 = 2 · 79 · 17 · 373 |
Discriminant |
Eigenvalues |
2- 1 1 7- 4 4 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-367060,-85625702] |
[a1,a2,a3,a4,a6] |
j |
135535357847863/1722202 |
j-invariant |
L |
6.2067691523776 |
L(r)(E,1)/r! |
Ω |
0.19396153594637 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61642s1 |
Quadratic twists by: -7 |