Atkin-Lehner |
3- 7- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
15561k |
Isogeny class |
Conductor |
15561 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
1270868628393 = 37 · 73 · 13 · 194 |
Discriminant |
Eigenvalues |
1 3- 2 7- 4 13+ 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3591,63504] |
[a1,a2,a3,a4,a6] |
Generators |
[0:252:1] |
Generators of the group modulo torsion |
j |
7026036894577/1743304017 |
j-invariant |
L |
7.1116538227999 |
L(r)(E,1)/r! |
Ω |
0.80730650461026 |
Real period |
R |
1.4681854170189 |
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 |
5187j1 108927bc1 |
Quadratic twists by: -3 -7 |