Atkin-Lehner |
2+ 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
29120m |
Isogeny class |
Conductor |
29120 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1013760 |
Modular degree for the optimal curve |
Δ |
1.000190378489E+20 |
Discriminant |
Eigenvalues |
2+ 0 5- 7+ 6 13+ -8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2169452,1131879856] |
[a1,a2,a3,a4,a6] |
j |
4307585705106105969/381542350192640 |
j-invariant |
L |
1.475239494537 |
L(r)(E,1)/r! |
Ω |
0.18440493681709 |
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 |
29120cj1 910f1 |
Quadratic twists by: -4 8 |