Atkin-Lehner |
2+ 3+ 5- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
75840k |
Isogeny class |
Conductor |
75840 |
Conductor |
∏ cp |
80 |
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] |
j |
-933581144219651301551689/191073116160000000000 |
j-invariant |
L |
1.2140788018347 |
L(r)(E,1)/r! |
Ω |
0.060703940116264 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
75840ct1 2370c1 |
Quadratic twists by: -4 8 |