Atkin-Lehner |
2- 5+ 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
120640ce |
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] |
Generators |
[42:377:1] |
Generators of the group modulo torsion |
j |
21888010612816/9238385 |
j-invariant |
L |
4.211457154743 |
L(r)(E,1)/r! |
Ω |
1.0111498182152 |
Real period |
R |
0.69416966564316 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999225669 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
120640m1 30160g1 |
Quadratic twists by: -4 8 |