Atkin-Lehner |
2- 3+ 13- 103- |
Signs for the Atkin-Lehner involutions |
Class |
64272t |
Isogeny class |
Conductor |
64272 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
59904 |
Modular degree for the optimal curve |
Δ |
4212129792 = 220 · 3 · 13 · 103 |
Discriminant |
Eigenvalues |
2- 3+ -2 4 -4 13- 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1424,20928] |
[a1,a2,a3,a4,a6] |
j |
78018694417/1028352 |
j-invariant |
L |
1.3897007905201 |
L(r)(E,1)/r! |
Ω |
1.3897007965347 |
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 |
8034k1 |
Quadratic twists by: -4 |