Atkin-Lehner |
2- 3+ 7- 13- 71- |
Signs for the Atkin-Lehner involutions |
Class |
38766ba |
Isogeny class |
Conductor |
38766 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
39168 |
Modular degree for the optimal curve |
Δ |
-19292442624 = -1 · 212 · 36 · 7 · 13 · 71 |
Discriminant |
Eigenvalues |
2- 3+ -1 7- -6 13- 1 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,644,2525] |
[a1,a2,a3,a4,a6] |
Generators |
[29:201:1] |
Generators of the group modulo torsion |
j |
29535148948031/19292442624 |
j-invariant |
L |
6.5190905813663 |
L(r)(E,1)/r! |
Ω |
0.76327697339205 |
Real period |
R |
0.35587183118647 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116298q1 |
Quadratic twists by: -3 |