Atkin-Lehner |
2- 7+ 29- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
15022f |
Isogeny class |
Conductor |
15022 |
Conductor |
∏ cp |
44 |
Product of Tamagawa factors cp |
deg |
54912 |
Modular degree for the optimal curve |
Δ |
-10805672148992 = -1 · 222 · 74 · 29 · 37 |
Discriminant |
Eigenvalues |
2- -3 0 7+ 3 -4 -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-6855,-267969] |
[a1,a2,a3,a4,a6] |
Generators |
[227:3022:1] |
Generators of the group modulo torsion |
j |
-35619407691890625/10805672148992 |
j-invariant |
L |
4.1906142982221 |
L(r)(E,1)/r! |
Ω |
0.25831940048628 |
Real period |
R |
0.36869562979478 |
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 |
120176w1 105154n1 |
Quadratic twists by: -4 -7 |