Atkin-Lehner |
2+ 7- 19- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
39368d |
Isogeny class |
Conductor |
39368 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
510491469824 = 211 · 7 · 19 · 374 |
Discriminant |
Eigenvalues |
2+ 0 -2 7- 4 2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6131,181550] |
[a1,a2,a3,a4,a6] |
Generators |
[572761462:4073835975:6028568] |
Generators of the group modulo torsion |
j |
12444793888914/249263413 |
j-invariant |
L |
5.2507682876395 |
L(r)(E,1)/r! |
Ω |
0.92879148324418 |
Real period |
R |
11.306667604874 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
78736a3 |
Quadratic twists by: -4 |