Atkin-Lehner |
2- 3- 71- |
Signs for the Atkin-Lehner involutions |
Class |
10224q |
Isogeny class |
Conductor |
10224 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
-32324399846498304 = -1 · 213 · 37 · 715 |
Discriminant |
Eigenvalues |
2- 3- -1 -3 -3 -6 2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-33123,-8955934] |
[a1,a2,a3,a4,a6] |
Generators |
[265:936:1] [361:5112:1] |
Generators of the group modulo torsion |
j |
-1345938541921/10825376106 |
j-invariant |
L |
5.3959980497133 |
L(r)(E,1)/r! |
Ω |
0.15585210963653 |
Real period |
R |
0.43278192241824 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999971 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1278c2 40896bv2 3408e2 |
Quadratic twists by: -4 8 -3 |