Atkin-Lehner |
2+ 5- 17+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
67150l |
Isogeny class |
Conductor |
67150 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
43776 |
Modular degree for the optimal curve |
Δ |
-30662033000 = -1 · 23 · 53 · 173 · 792 |
Discriminant |
Eigenvalues |
2+ 1 5- -2 -2 -3 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,704,4438] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:41:1] |
Generators of the group modulo torsion |
j |
309327236947/245296264 |
j-invariant |
L |
3.5749972781266 |
L(r)(E,1)/r! |
Ω |
0.75558591478557 |
Real period |
R |
1.1828559826932 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999976368 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
67150w1 |
Quadratic twists by: 5 |