Atkin-Lehner |
3+ 5+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
106575r |
Isogeny class |
Conductor |
106575 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
2705976061471265625 = 36 · 56 · 710 · 292 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7- 4 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-15666550,-23873965625] |
[a1,a2,a3,a4,a6] |
Generators |
[2485304218831894090:81260037222194036755:487777938762232] |
Generators of the group modulo torsion |
j |
231331938231569617/1472026689 |
j-invariant |
L |
7.3774597034866 |
L(r)(E,1)/r! |
Ω |
0.075885076208022 |
Real period |
R |
24.304712031148 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006365 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
4263g2 15225o2 |
Quadratic twists by: 5 -7 |