Atkin-Lehner |
3- 13+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
4017b |
Isogeny class |
Conductor |
4017 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
336 |
Modular degree for the optimal curve |
Δ |
-976131 = -1 · 36 · 13 · 103 |
Discriminant |
Eigenvalues |
0 3- 1 2 0 13+ -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,25,2] |
[a1,a2,a3,a4,a6] |
Generators |
[4:13:1] |
Generators of the group modulo torsion |
j |
1659797504/976131 |
j-invariant |
L |
3.9599734882967 |
L(r)(E,1)/r! |
Ω |
1.6342370379086 |
Real period |
R |
0.40385547877889 |
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 |
64272j1 12051c1 100425a1 52221d1 |
Quadratic twists by: -4 -3 5 13 |