Atkin-Lehner |
2- 11+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
102608j |
Isogeny class |
Conductor |
102608 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1482624 |
Modular degree for the optimal curve |
Δ |
-262083659952029696 = -1 · 221 · 119 · 53 |
Discriminant |
Eigenvalues |
2- 3 1 2 11+ -3 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-342067,80847602] |
[a1,a2,a3,a4,a6] |
Generators |
[1069515249:11835765766:4019679] |
Generators of the group modulo torsion |
j |
-458314011/27136 |
j-invariant |
L |
14.443225974273 |
L(r)(E,1)/r! |
Ω |
0.3061302202221 |
Real period |
R |
11.795001776403 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006198 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12826a1 102608k1 |
Quadratic twists by: -4 -11 |