Atkin-Lehner |
2- 7+ 29+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
15022c |
Isogeny class |
Conductor |
15022 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
Δ |
394086833619584 = 27 · 76 · 294 · 37 |
Discriminant |
Eigenvalues |
2- -2 -2 7+ 0 -6 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-19249,-381591] |
[a1,a2,a3,a4,a6] |
Generators |
[-106:739:1] |
Generators of the group modulo torsion |
j |
788768647707244177/394086833619584 |
j-invariant |
L |
3.5710062634324 |
L(r)(E,1)/r! |
Ω |
0.42690127911574 |
Real period |
R |
1.1949923246321 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
120176q2 105154j2 |
Quadratic twists by: -4 -7 |