Atkin-Lehner |
2- 3- 5- 79- |
Signs for the Atkin-Lehner involutions |
Class |
75840ct |
Isogeny class |
Conductor |
75840 |
Conductor |
∏ cp |
400 |
Product of Tamagawa factors cp |
deg |
20275200 |
Modular degree for the optimal curve |
Δ |
-5.0088670962647E+25 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 4 2 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-130313505,-666217541025] |
[a1,a2,a3,a4,a6] |
Generators |
[25665:3591000:1] |
Generators of the group modulo torsion |
j |
-933581144219651301551689/191073116160000000000 |
j-invariant |
L |
8.8570540547541 |
L(r)(E,1)/r! |
Ω |
0.022098881388484 |
Real period |
R |
4.0079196303955 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002355 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
75840k1 18960k1 |
Quadratic twists by: -4 8 |