Atkin-Lehner |
2- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
80864j |
Isogeny class |
Conductor |
80864 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
63936 |
Modular degree for the optimal curve |
Δ |
-22886452736 = -1 · 29 · 73 · 194 |
Discriminant |
Eigenvalues |
2- 0 -3 7- 2 -1 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6859,-218766] |
[a1,a2,a3,a4,a6] |
Generators |
[1074:9051:8] |
Generators of the group modulo torsion |
j |
-534837384/343 |
j-invariant |
L |
4.1652891582523 |
L(r)(E,1)/r! |
Ω |
0.26229357583819 |
Real period |
R |
5.2934187010497 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993544 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80864f1 80864e1 |
Quadratic twists by: -4 -19 |