Atkin-Lehner |
2+ 3+ 11+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
128502d |
Isogeny class |
Conductor |
128502 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
5170176 |
Modular degree for the optimal curve |
Δ |
1.0339736141005E+19 |
Discriminant |
Eigenvalues |
2+ 3+ -2 2 11+ -2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2702013,-1701849979] |
[a1,a2,a3,a4,a6] |
j |
47006795529/222784 |
j-invariant |
L |
1.884613581264 |
L(r)(E,1)/r! |
Ω |
0.11778813854199 |
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 |
128502be1 128502bg1 |
Quadratic twists by: -3 -11 |