Atkin-Lehner |
2- 3- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
33516v |
Isogeny class |
Conductor |
33516 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
304114314744576 = 28 · 312 · 76 · 19 |
Discriminant |
Eigenvalues |
2- 3- 2 7- -2 -2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-40719,3049270] |
[a1,a2,a3,a4,a6] |
Generators |
[-145:2430:1] |
Generators of the group modulo torsion |
j |
340062928/13851 |
j-invariant |
L |
6.5234980966385 |
L(r)(E,1)/r! |
Ω |
0.54039215650977 |
Real period |
R |
2.0119642183471 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11172v2 684b2 |
Quadratic twists by: -3 -7 |