Atkin-Lehner |
2+ 3+ 7+ 13+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
38766a |
Isogeny class |
Conductor |
38766 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
12160 |
Modular degree for the optimal curve |
Δ |
-40820598 = -1 · 2 · 35 · 7 · 132 · 71 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7+ 0 13+ -6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,84,126] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:7:1] [-2:83:8] |
Generators of the group modulo torsion |
j |
64336588343/40820598 |
j-invariant |
L |
5.0612711972803 |
L(r)(E,1)/r! |
Ω |
1.2675461396229 |
Real period |
R |
1.9964840091685 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999989 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116298w1 |
Quadratic twists by: -3 |