Atkin-Lehner |
2+ 7- 13+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
113386f |
Isogeny class |
Conductor |
113386 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
73984 |
Modular degree for the optimal curve |
Δ |
-70639478 = -1 · 2 · 73 · 13 · 892 |
Discriminant |
Eigenvalues |
2+ -3 0 7- -3 13+ 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-562,-5006] |
[a1,a2,a3,a4,a6] |
Generators |
[230:241:8] [51:-337:1] |
Generators of the group modulo torsion |
j |
-57289251375/205946 |
j-invariant |
L |
5.2676378048859 |
L(r)(E,1)/r! |
Ω |
0.49012381117081 |
Real period |
R |
2.6868913958207 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000758 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113386n1 |
Quadratic twists by: -7 |