Atkin-Lehner |
2+ 3- 7+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
86394u |
Isogeny class |
Conductor |
86394 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-769379701837824 = -1 · 212 · 34 · 7 · 117 · 17 |
Discriminant |
Eigenvalues |
2+ 3- -1 7+ 11- 3 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-30374,-2438152] |
[a1,a2,a3,a4,a6] |
Generators |
[1077:34309:1] |
Generators of the group modulo torsion |
j |
-1749254553649/434294784 |
j-invariant |
L |
5.1336685773266 |
L(r)(E,1)/r! |
Ω |
0.17848614320514 |
Real period |
R |
0.89882127669218 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999958829 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7854q1 |
Quadratic twists by: -11 |