Atkin-Lehner |
2+ 3+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
36414n |
Isogeny class |
Conductor |
36414 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
470016 |
Modular degree for the optimal curve |
Δ |
-659333009481196806 = -1 · 2 · 39 · 74 · 178 |
Discriminant |
Eigenvalues |
2+ 3+ 1 7- 5 -4 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,190686,22291586] |
[a1,a2,a3,a4,a6] |
Generators |
[3470:107507:8] |
Generators of the group modulo torsion |
j |
5584653/4802 |
j-invariant |
L |
5.1586969842017 |
L(r)(E,1)/r! |
Ω |
0.18670591698283 |
Real period |
R |
1.1512527891382 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36414cd1 36414d1 |
Quadratic twists by: -3 17 |