Atkin-Lehner |
2- 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
23534t |
Isogeny class |
Conductor |
23534 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
201600 |
Modular degree for the optimal curve |
Δ |
104743522595774944 = 25 · 75 · 417 |
Discriminant |
Eigenvalues |
2- 1 1 7+ -2 -4 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-294210,59392484] |
[a1,a2,a3,a4,a6] |
j |
592915705201/22050784 |
j-invariant |
L |
3.325955528629 |
L(r)(E,1)/r! |
Ω |
0.33259555286291 |
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 |
574j1 |
Quadratic twists by: 41 |