Atkin-Lehner |
2+ 3+ 37+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
13542a |
Isogeny class |
Conductor |
13542 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
38880 |
Modular degree for the optimal curve |
Δ |
-88797884940288 = -1 · 215 · 39 · 37 · 612 |
Discriminant |
Eigenvalues |
2+ 3+ 0 3 -3 -1 1 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,10780,145872] |
[a1,a2,a3,a4,a6] |
Generators |
[-106:297:8] |
Generators of the group modulo torsion |
j |
138521454997448375/88797884940288 |
j-invariant |
L |
3.0095856560181 |
L(r)(E,1)/r! |
Ω |
0.37652629085119 |
Real period |
R |
3.9965146248016 |
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 |
108336t1 40626l1 |
Quadratic twists by: -4 -3 |