Atkin-Lehner |
2+ 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
13690b |
Isogeny class |
Conductor |
13690 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
131328 |
Modular degree for the optimal curve |
Δ |
48605121092096000 = 212 · 53 · 377 |
Discriminant |
Eigenvalues |
2+ -2 5+ 2 0 -2 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-102704,-6935298] |
[a1,a2,a3,a4,a6] |
Generators |
[-1290:19299:8] |
Generators of the group modulo torsion |
j |
46694890801/18944000 |
j-invariant |
L |
1.9813444486104 |
L(r)(E,1)/r! |
Ω |
0.27628920010635 |
Real period |
R |
7.1712699875629 |
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 |
109520k1 123210dj1 68450y1 370d1 |
Quadratic twists by: -4 -3 5 37 |