Atkin-Lehner |
2+ 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
11368a |
Isogeny class |
Conductor |
11368 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
14784 |
Modular degree for the optimal curve |
Δ |
77571162256 = 24 · 78 · 292 |
Discriminant |
Eigenvalues |
2+ 1 3 7+ -3 -2 -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-10404,-411727] |
[a1,a2,a3,a4,a6] |
Generators |
[136:841:1] |
Generators of the group modulo torsion |
j |
1350399232/841 |
j-invariant |
L |
6.1339249285991 |
L(r)(E,1)/r! |
Ω |
0.47272897769995 |
Real period |
R |
3.243890906817 |
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 |
22736b1 90944i1 102312be1 11368e1 |
Quadratic twists by: -4 8 -3 -7 |