Atkin-Lehner |
5+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
11495b |
Isogeny class |
Conductor |
11495 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
38016 |
Modular degree for the optimal curve |
Δ |
700015720765625 = 56 · 119 · 19 |
Discriminant |
Eigenvalues |
1 0 5+ -2 11+ -2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-55985,4951216] |
[a1,a2,a3,a4,a6] |
Generators |
[52:1450:1] [228:1886:1] |
Generators of the group modulo torsion |
j |
8230172859/296875 |
j-invariant |
L |
6.7321937585617 |
L(r)(E,1)/r! |
Ω |
0.50509315808493 |
Real period |
R |
13.328618000068 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
103455y1 57475d1 11495a1 |
Quadratic twists by: -3 5 -11 |