Atkin-Lehner |
2- 5- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
13690n |
Isogeny class |
Conductor |
13690 |
Conductor |
∏ cp |
55 |
Product of Tamagawa factors cp |
deg |
15840 |
Modular degree for the optimal curve |
Δ |
8761600000 = 211 · 55 · 372 |
Discriminant |
Eigenvalues |
2- -3 5- 0 2 1 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-627,4179] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:106:1] |
Generators of the group modulo torsion |
j |
19882608489/6400000 |
j-invariant |
L |
4.9498128055132 |
L(r)(E,1)/r! |
Ω |
1.2036116537541 |
Real period |
R |
0.074772121209671 |
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 |
109520ba1 123210v1 68450k1 13690c1 |
Quadratic twists by: -4 -3 5 37 |