Atkin-Lehner |
5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
13225m |
Isogeny class |
Conductor |
13225 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
29568 |
Modular degree for the optimal curve |
Δ |
-425603180875 = -1 · 53 · 237 |
Discriminant |
Eigenvalues |
-2 -2 5- 1 0 -2 -5 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-9698,-372186] |
[a1,a2,a3,a4,a6] |
Generators |
[153:1322:1] |
Generators of the group modulo torsion |
j |
-5451776/23 |
j-invariant |
L |
1.200759128475 |
L(r)(E,1)/r! |
Ω |
0.24048369844559 |
Real period |
R |
0.62413748636411 |
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 |
119025cq1 13225j1 575e1 |
Quadratic twists by: -3 5 -23 |