Atkin-Lehner |
2- 5+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
13690i |
Isogeny class |
Conductor |
13690 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
372960 |
Modular degree for the optimal curve |
Δ |
1624521747438462500 = 22 · 55 · 379 |
Discriminant |
Eigenvalues |
2- 0 5+ -2 4 -2 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3263953,2269663581] |
[a1,a2,a3,a4,a6] |
Generators |
[37436480949318:-625563923825187:46733803208] |
Generators of the group modulo torsion |
j |
29589645357/12500 |
j-invariant |
L |
6.0102510399521 |
L(r)(E,1)/r! |
Ω |
0.26237885487751 |
Real period |
R |
22.906766030204 |
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 |
109520o1 123210bv1 68450m1 13690e1 |
Quadratic twists by: -4 -3 5 37 |