Atkin-Lehner |
2+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
122018c |
Isogeny class |
Conductor |
122018 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
5116320 |
Modular degree for the optimal curve |
Δ |
-1.2460415070632E+19 |
Discriminant |
Eigenvalues |
2+ 3 -2 3 2 13+ -1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-72448,170017784] |
[a1,a2,a3,a4,a6] |
Generators |
[3626544329500874661:451171885150356708205:232370174605239] |
Generators of the group modulo torsion |
j |
-27/8 |
j-invariant |
L |
10.000750155048 |
L(r)(E,1)/r! |
Ω |
0.18307742693976 |
Real period |
R |
27.312897942186 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
722d1 122018ba1 |
Quadratic twists by: 13 -19 |