Atkin-Lehner |
2- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
24304v |
Isogeny class |
Conductor |
24304 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-1205652740573044736 = -1 · 213 · 715 · 31 |
Discriminant |
Eigenvalues |
2- 1 -3 7- 0 4 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2645232,-1657661356] |
[a1,a2,a3,a4,a6] |
j |
-4247828669470177/2501923634 |
j-invariant |
L |
2.1307905507531 |
L(r)(E,1)/r! |
Ω |
0.059188626409811 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3038h3 97216ce3 3472d3 |
Quadratic twists by: -4 8 -7 |