Atkin-Lehner |
11- 29+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
129833b |
Isogeny class |
Conductor |
129833 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
61344 |
Modular degree for the optimal curve |
Δ |
177741377 = 112 · 29 · 373 |
Discriminant |
Eigenvalues |
1 0 -2 -1 11- -6 5 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2393,45656] |
[a1,a2,a3,a4,a6] |
Generators |
[-40:296:1] [28:-10:1] |
Generators of the group modulo torsion |
j |
12527618491377/1468937 |
j-invariant |
L |
10.6079668136 |
L(r)(E,1)/r! |
Ω |
1.7337215064995 |
Real period |
R |
6.11861061461 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001088 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129833f1 |
Quadratic twists by: -11 |