Atkin-Lehner |
2- 3+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
129360eh |
Isogeny class |
Conductor |
129360 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
3538944 |
Modular degree for the optimal curve |
Δ |
375693728256000 = 212 · 34 · 53 · 77 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 11- 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-12734136,-17486260560] |
[a1,a2,a3,a4,a6] |
j |
473897054735271721/779625 |
j-invariant |
L |
2.5574501343314 |
L(r)(E,1)/r! |
Ω |
0.079920313890091 |
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 |
8085n1 18480dc1 |
Quadratic twists by: -4 -7 |