Atkin-Lehner |
3- 5+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
45675bb |
Isogeny class |
Conductor |
45675 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
353280 |
Modular degree for the optimal curve |
Δ |
-151744482421875 = -1 · 37 · 511 · 72 · 29 |
Discriminant |
Eigenvalues |
2 3- 5+ 7- -5 4 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-37425,2849031] |
[a1,a2,a3,a4,a6] |
j |
-508934139904/13321875 |
j-invariant |
L |
4.612283040327 |
L(r)(E,1)/r! |
Ω |
0.57653538006522 |
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 |
15225w1 9135i1 |
Quadratic twists by: -3 5 |