Atkin-Lehner |
2+ 3- 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
4680i |
Isogeny class |
Conductor |
4680 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
102351600000000 = 210 · 39 · 58 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 0 13- 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-69267,-6999874] |
[a1,a2,a3,a4,a6] |
j |
49235161015876/137109375 |
j-invariant |
L |
2.3546731971815 |
L(r)(E,1)/r! |
Ω |
0.29433414964769 |
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 |
9360s4 37440bc4 1560i4 23400bf4 |
Quadratic twists by: -4 8 -3 5 |