Atkin-Lehner |
2- 3- 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
35784t |
Isogeny class |
Conductor |
35784 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-242485900316448768 = -1 · 211 · 39 · 75 · 713 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 0 0 8 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-102891,-26882746] |
[a1,a2,a3,a4,a6] |
j |
-80686039032146/162416074779 |
j-invariant |
L |
2.5041092731179 |
L(r)(E,1)/r! |
Ω |
0.12520546365643 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71568m1 11928b1 |
Quadratic twists by: -4 -3 |