Atkin-Lehner |
2+ 5+ 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
120640m |
Isogeny class |
Conductor |
120640 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
159744 |
Modular degree for the optimal curve |
Δ |
151361699840 = 214 · 5 · 133 · 292 |
Discriminant |
Eigenvalues |
2+ 2 5+ 0 -2 13- 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-14801,-687919] |
[a1,a2,a3,a4,a6] |
j |
21888010612816/9238385 |
j-invariant |
L |
2.5970871875195 |
L(r)(E,1)/r! |
Ω |
0.4328479311522 |
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 |
120640ce1 15080i1 |
Quadratic twists by: -4 8 |