Atkin-Lehner |
2- 5- 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
51520cc |
Isogeny class |
Conductor |
51520 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
-475382321053696000 = -1 · 219 · 53 · 72 · 236 |
Discriminant |
Eigenvalues |
2- -2 5- 7+ 0 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-28225,33213375] |
[a1,a2,a3,a4,a6] |
Generators |
[-305:3680:1] [-95:5920:1] |
Generators of the group modulo torsion |
j |
-9486391169809/1813439640250 |
j-invariant |
L |
7.1090547102946 |
L(r)(E,1)/r! |
Ω |
0.24123899843369 |
Real period |
R |
0.81858133732449 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999978 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
51520bg4 12880n4 |
Quadratic twists by: -4 8 |