Atkin-Lehner |
2- 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
61600ca |
Isogeny class |
Conductor |
61600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
47616 |
Modular degree for the optimal curve |
Δ |
197120000 = 212 · 54 · 7 · 11 |
Discriminant |
Eigenvalues |
2- -2 5- 7- 11+ 5 1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4333,-111237] |
[a1,a2,a3,a4,a6] |
j |
3515200000/77 |
j-invariant |
L |
1.1768594410086 |
L(r)(E,1)/r! |
Ω |
0.58842972193126 |
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 |
61600bv1 123200ht1 61600e1 |
Quadratic twists by: -4 8 5 |