Atkin-Lehner |
3+ 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
53235b |
Isogeny class |
Conductor |
53235 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1128960 |
Modular degree for the optimal curve |
Δ |
351225607719065625 = 39 · 55 · 7 · 138 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7- 6 13+ 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2099265,-1169837200] |
[a1,a2,a3,a4,a6] |
j |
10768971245787/3696875 |
j-invariant |
L |
4.0136699257587 |
L(r)(E,1)/r! |
Ω |
0.12542718517542 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53235f1 4095e1 |
Quadratic twists by: -3 13 |