Atkin-Lehner |
2+ 11- 61- |
Signs for the Atkin-Lehner involutions |
Class |
118096m |
Isogeny class |
Conductor |
118096 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1622016 |
Modular degree for the optimal curve |
Δ |
-98829472706888704 = -1 · 210 · 1110 · 612 |
Discriminant |
Eigenvalues |
2+ -2 3 -4 11- -3 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-356264,83114788] |
[a1,a2,a3,a4,a6] |
Generators |
[371:1464:1] |
Generators of the group modulo torsion |
j |
-188284228/3721 |
j-invariant |
L |
4.869257455314 |
L(r)(E,1)/r! |
Ω |
0.33693572262066 |
Real period |
R |
3.6128979489114 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998575336 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59048h1 118096g1 |
Quadratic twists by: -4 -11 |