Atkin-Lehner |
2- 3- 7- 23+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
118818bj |
Isogeny class |
Conductor |
118818 |
Conductor |
∏ cp |
198 |
Product of Tamagawa factors cp |
deg |
3136320 |
Modular degree for the optimal curve |
Δ |
1.6007203206343E+19 |
Discriminant |
Eigenvalues |
2- 3- 3 7- -2 -2 1 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-781736,-183436437] |
[a1,a2,a3,a4,a6] |
Generators |
[-483:9257:1] |
Generators of the group modulo torsion |
j |
72472960047622817593/21957754741210624 |
j-invariant |
L |
13.964869034658 |
L(r)(E,1)/r! |
Ω |
0.16433287438329 |
Real period |
R |
0.42918765749591 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000025953 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13202f1 |
Quadratic twists by: -3 |