Atkin-Lehner |
2- 3+ 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
102312u |
Isogeny class |
Conductor |
102312 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
499968 |
Modular degree for the optimal curve |
Δ |
-24429330986957568 = -1 · 28 · 39 · 78 · 292 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ 2 1 -6 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,37044,7001316] |
[a1,a2,a3,a4,a6] |
Generators |
[0:2646:1] |
Generators of the group modulo torsion |
j |
193536/841 |
j-invariant |
L |
5.1646937713877 |
L(r)(E,1)/r! |
Ω |
0.27069136057363 |
Real period |
R |
0.79498500860886 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008915 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
102312a1 102312y1 |
Quadratic twists by: -3 -7 |