Atkin-Lehner |
5- 7+ 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
44275l |
Isogeny class |
Conductor |
44275 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
418560 |
Modular degree for the optimal curve |
Δ |
8417092578125 = 58 · 7 · 11 · 234 |
Discriminant |
Eigenvalues |
0 2 5- 7+ 11+ 1 1 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-2283583,-1327469182] |
[a1,a2,a3,a4,a6] |
j |
3371430966038855680/21547757 |
j-invariant |
L |
2.2106390825511 |
L(r)(E,1)/r! |
Ω |
0.12281328236569 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44275g1 |
Quadratic twists by: 5 |