Atkin-Lehner |
5- 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
33235d |
Isogeny class |
Conductor |
33235 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
50400 |
Modular degree for the optimal curve |
Δ |
-1734887771875 = -1 · 55 · 176 · 23 |
Discriminant |
Eigenvalues |
2 0 5- -1 -2 -2 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,2023,-52815] |
[a1,a2,a3,a4,a6] |
j |
37933056/71875 |
j-invariant |
L |
2.1925692004478 |
L(r)(E,1)/r! |
Ω |
0.43851384008955 |
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 |
115a1 |
Quadratic twists by: 17 |