Atkin-Lehner |
2- 3+ 5- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
87360fc |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1376256 |
Modular degree for the optimal curve |
Δ |
79370403840 = 214 · 32 · 5 · 72 · 133 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 0 13- -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6459185,-6316357743] |
[a1,a2,a3,a4,a6] |
j |
1819018058610682173904/4844385 |
j-invariant |
L |
1.1364134216271 |
L(r)(E,1)/r! |
Ω |
0.094701120632336 |
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 |
87360dp1 21840k1 |
Quadratic twists by: -4 8 |