Atkin-Lehner |
5- 17+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
114155h |
Isogeny class |
Conductor |
114155 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
-46842211216315 = -1 · 5 · 179 · 79 |
Discriminant |
Eigenvalues |
0 2 5- 4 6 -4 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,8285,152771] |
[a1,a2,a3,a4,a6] |
j |
2605285376/1940635 |
j-invariant |
L |
6.5112443262893 |
L(r)(E,1)/r! |
Ω |
0.4069527928255 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6715d1 |
Quadratic twists by: 17 |