Atkin-Lehner |
2+ 3+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
61152d |
Isogeny class |
Conductor |
61152 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
19968 |
Modular degree for the optimal curve |
Δ |
7705152 = 26 · 33 · 73 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- 0 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-814,-8672] |
[a1,a2,a3,a4,a6] |
j |
2720547136/351 |
j-invariant |
L |
0.89372182988694 |
L(r)(E,1)/r! |
Ω |
0.89372182523546 |
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 |
61152r1 122304if1 61152v1 |
Quadratic twists by: -4 8 -7 |