Atkin-Lehner |
3- 5+ 11- 83- |
Signs for the Atkin-Lehner involutions |
Class |
13695a |
Isogeny class |
Conductor |
13695 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2816 |
Modular degree for the optimal curve |
Δ |
-1848825 = -1 · 34 · 52 · 11 · 83 |
Discriminant |
Eigenvalues |
-1 3- 5+ -3 11- -5 -8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-11,66] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:4:1] [1:7:1] |
Generators of the group modulo torsion |
j |
-148035889/1848825 |
j-invariant |
L |
4.6199315230577 |
L(r)(E,1)/r! |
Ω |
2.2395508520184 |
Real period |
R |
0.25786038296994 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41085c1 68475a1 |
Quadratic twists by: -3 5 |