Atkin-Lehner |
2+ 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
84640j |
Isogeny class |
Conductor |
84640 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
6927360 |
Modular degree for the optimal curve |
Δ |
-1.9513543842077E+19 |
Discriminant |
Eigenvalues |
2+ -2 5- -3 -6 4 -7 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-15436925,23340576715] |
[a1,a2,a3,a4,a6] |
Generators |
[11193:1119364:1] |
Generators of the group modulo torsion |
j |
-670933008285184/32181715 |
j-invariant |
L |
1.8790068083169 |
L(r)(E,1)/r! |
Ω |
0.20429170977402 |
Real period |
R |
1.1497081862147 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999973019 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84640u1 3680b1 |
Quadratic twists by: -4 -23 |