Atkin-Lehner |
3+ 5+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
5115b |
Isogeny class |
Conductor |
5115 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
20160 |
Modular degree for the optimal curve |
Δ |
1025429625 = 37 · 53 · 112 · 31 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 2 11- 6 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-176551,-28626676] |
[a1,a2,a3,a4,a6] |
Generators |
[18206345014:-569028923393:16194277] |
Generators of the group modulo torsion |
j |
608603451835763140849/1025429625 |
j-invariant |
L |
2.1296218441028 |
L(r)(E,1)/r! |
Ω |
0.2329067077494 |
Real period |
R |
18.28733800483 |
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 |
81840cs1 15345i1 25575n1 56265b1 |
Quadratic twists by: -4 -3 5 -11 |