Atkin-Lehner |
2+ 3+ 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
129360r |
Isogeny class |
Conductor |
129360 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
310593360 = 24 · 3 · 5 · 76 · 11 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 11+ 6 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2711,-53430] |
[a1,a2,a3,a4,a6] |
j |
1171019776/165 |
j-invariant |
L |
2.6464737037709 |
L(r)(E,1)/r! |
Ω |
0.66161828356144 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64680z1 2640k1 |
Quadratic twists by: -4 -7 |