Atkin-Lehner |
2- 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
84100f |
Isogeny class |
Conductor |
84100 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
10886400 |
Modular degree for the optimal curve |
Δ |
-68999505236000000 = -1 · 28 · 56 · 297 |
Discriminant |
Eigenvalues |
2- -3 5+ -4 1 3 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-101571775,-394010392250] |
[a1,a2,a3,a4,a6] |
j |
-48707390098512/29 |
j-invariant |
L |
0.14266840598486 |
L(r)(E,1)/r! |
Ω |
0.023778053425506 |
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 |
3364c1 2900d1 |
Quadratic twists by: 5 29 |