Atkin-Lehner |
5- 17+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
3995d |
Isogeny class |
Conductor |
3995 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
288 |
Modular degree for the optimal curve |
Δ |
67915 = 5 · 172 · 47 |
Discriminant |
Eigenvalues |
1 1 5- 3 -3 -1 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-18,-27] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:2:1] |
Generators of the group modulo torsion |
j |
594823321/67915 |
j-invariant |
L |
5.374990763227 |
L(r)(E,1)/r! |
Ω |
2.3508663944332 |
Real period |
R |
1.1431935851299 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63920h1 35955g1 19975h1 67915c1 |
Quadratic twists by: -4 -3 5 17 |