Atkin-Lehner |
2- 7+ 29- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
15022g |
Isogeny class |
Conductor |
15022 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
145920 |
Modular degree for the optimal curve |
Δ |
-14647575328064 = -1 · 26 · 78 · 29 · 372 |
Discriminant |
Eigenvalues |
2- -3 3 7+ -1 1 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-58011,-5366517] |
[a1,a2,a3,a4,a6] |
Generators |
[3167:176090:1] |
Generators of the group modulo torsion |
j |
-21589756761706493697/14647575328064 |
j-invariant |
L |
5.4704618713651 |
L(r)(E,1)/r! |
Ω |
0.1538065691077 |
Real period |
R |
1.4819647342064 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
120176x1 105154o1 |
Quadratic twists by: -4 -7 |