Atkin-Lehner |
3- 5+ 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
45675j |
Isogeny class |
Conductor |
45675 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
2640353994140625 = 38 · 510 · 72 · 292 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7+ 4 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-48605,-3289228] |
[a1,a2,a3,a4,a6] |
j |
1114835073409/231800625 |
j-invariant |
L |
1.3049898543924 |
L(r)(E,1)/r! |
Ω |
0.32624746353546 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
15225p2 9135m2 |
Quadratic twists by: -3 5 |