Atkin-Lehner |
2- 3- 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
118188bi |
Isogeny class |
Conductor |
118188 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
8847360 |
Modular degree for the optimal curve |
Δ |
-2.5133427067498E+23 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 0 0 5 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,357504,24120230596] |
[a1,a2,a3,a4,a6] |
Generators |
[9380:923454:1] |
Generators of the group modulo torsion |
j |
230149849088/11447113188483 |
j-invariant |
L |
5.0221740966694 |
L(r)(E,1)/r! |
Ω |
0.077914412311437 |
Real period |
R |
5.3714645299821 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000142181 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39396q1 16884l1 |
Quadratic twists by: -3 -7 |