Atkin-Lehner |
2+ 11- 61- |
Signs for the Atkin-Lehner involutions |
Class |
59048h |
Isogeny class |
Conductor |
59048 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
811008 |
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 |
[466433279438820512308:47473285124559283889619:44870574117904192] |
Generators of the group modulo torsion |
j |
-188284228/3721 |
j-invariant |
L |
12.799504997129 |
L(r)(E,1)/r! |
Ω |
0.097592810907692 |
Real period |
R |
32.788032433137 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118096m1 59048m1 |
Quadratic twists by: -4 -11 |