Atkin-Lehner |
2- 5- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
13690l |
Isogeny class |
Conductor |
13690 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
864 |
Modular degree for the optimal curve |
Δ |
13690 = 2 · 5 · 372 |
Discriminant |
Eigenvalues |
2- 1 5- 2 0 -5 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-10,10] |
[a1,a2,a3,a4,a6] |
Generators |
[6:11:8] |
Generators of the group modulo torsion |
j |
81289/10 |
j-invariant |
L |
8.9848617682077 |
L(r)(E,1)/r! |
Ω |
3.8330465341502 |
Real period |
R |
2.3440523583937 |
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 |
109520u1 123210bd1 68450c1 13690a1 |
Quadratic twists by: -4 -3 5 37 |