Atkin-Lehner |
2+ 3+ 37+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
129648b |
Isogeny class |
Conductor |
129648 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
380928 |
Modular degree for the optimal curve |
Δ |
102130919359488 = 210 · 36 · 374 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -2 4 4 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-14088,-417024] |
[a1,a2,a3,a4,a6] |
j |
301996987838500/99737225937 |
j-invariant |
L |
1.7992126243887 |
L(r)(E,1)/r! |
Ω |
0.4498027450187 |
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 |
64824i1 |
Quadratic twists by: -4 |