Atkin-Lehner |
2+ 3- 5- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
39600bp |
Isogeny class |
Conductor |
39600 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
5913600 |
Modular degree for the optimal curve |
Δ |
-1.0066305757395E+24 |
Discriminant |
Eigenvalues |
2+ 3- 5- -3 11+ 4 1 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-172999875,877153171250] |
[a1,a2,a3,a4,a6] |
Generators |
[8875:202050:1] |
Generators of the group modulo torsion |
j |
-1963692857508260740/3452093881137 |
j-invariant |
L |
4.8573387877832 |
L(r)(E,1)/r! |
Ω |
0.087794160719906 |
Real period |
R |
4.6105370675685 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19800v1 13200p1 39600q1 |
Quadratic twists by: -4 -3 5 |