Atkin-Lehner |
2+ 37- 67- |
Signs for the Atkin-Lehner involutions |
Class |
39664c |
Isogeny class |
Conductor |
39664 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
5376 |
Modular degree for the optimal curve |
Δ |
-1467568 = -1 · 24 · 372 · 67 |
Discriminant |
Eigenvalues |
2+ 0 0 4 -4 4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,10,-57] |
[a1,a2,a3,a4,a6] |
Generators |
[281085:730554:42875] |
Generators of the group modulo torsion |
j |
6912000/91723 |
j-invariant |
L |
6.1604214616388 |
L(r)(E,1)/r! |
Ω |
1.3185620847351 |
Real period |
R |
9.3441507729624 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19832a1 |
Quadratic twists by: -4 |