Atkin-Lehner |
3+ 5+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
106575bb |
Isogeny class |
Conductor |
106575 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
172032 |
Modular degree for the optimal curve |
Δ |
-263307285675 = -1 · 32 · 52 · 79 · 29 |
Discriminant |
Eigenvalues |
-2 3+ 5+ 7- -4 0 3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,572,-24312] |
[a1,a2,a3,a4,a6] |
Generators |
[33:171:1] |
Generators of the group modulo torsion |
j |
20480/261 |
j-invariant |
L |
2.0868917266977 |
L(r)(E,1)/r! |
Ω |
0.48158304669042 |
Real period |
R |
1.083349871008 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003119 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106575dd1 106575cl1 |
Quadratic twists by: 5 -7 |