Atkin-Lehner |
2+ 3- 5+ 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
129150bf |
Isogeny class |
Conductor |
129150 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
6193152 |
Modular degree for the optimal curve |
Δ |
8.6447917398528E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 4 2 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2442042,396104116] |
[a1,a2,a3,a4,a6] |
Generators |
[-1116:42158:1] |
Generators of the group modulo torsion |
j |
141395518489013209/75893919252480 |
j-invariant |
L |
6.3810781230562 |
L(r)(E,1)/r! |
Ω |
0.13819110780553 |
Real period |
R |
2.885984423586 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999520119 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43050bk1 25830bd1 |
Quadratic twists by: -3 5 |