Atkin-Lehner |
3- 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
20475ba |
Isogeny class |
Conductor |
20475 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
15999101015625 = 38 · 57 · 74 · 13 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- -4 13- 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6417,-44384] |
[a1,a2,a3,a4,a6] |
j |
2565726409/1404585 |
j-invariant |
L |
2.2794267609324 |
L(r)(E,1)/r! |
Ω |
0.56985669023311 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6825d1 4095k1 |
Quadratic twists by: -3 5 |