Atkin-Lehner |
2+ 3- 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
4680i |
Isogeny class |
Conductor |
4680 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
14370164640000 = 28 · 312 · 54 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 0 13- 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6087,-12166] |
[a1,a2,a3,a4,a6] |
j |
133649126224/77000625 |
j-invariant |
L |
2.3546731971815 |
L(r)(E,1)/r! |
Ω |
0.58866829929538 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
9360s2 37440bc2 1560i2 23400bf2 |
Quadratic twists by: -4 8 -3 5 |