Atkin-Lehner |
2+ 3+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
4368d |
Isogeny class |
Conductor |
4368 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-35082946848768 = -1 · 211 · 3 · 7 · 138 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7+ 4 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8624,422688] |
[a1,a2,a3,a4,a6] |
j |
-34639400027234/17130345141 |
j-invariant |
L |
1.217114839787 |
L(r)(E,1)/r! |
Ω |
0.60855741989348 |
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 |
2184m6 17472cm6 13104v6 109200bx5 |
Quadratic twists by: -4 8 -3 5 |