Atkin-Lehner |
2+ 3- 5+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
59850bg |
Isogeny class |
Conductor |
59850 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
322382025000000 = 26 · 36 · 58 · 72 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -4 -2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-79917,8672741] |
[a1,a2,a3,a4,a6] |
Generators |
[-1810:32027:8] [-221:4048:1] |
Generators of the group modulo torsion |
j |
4955605568649/28302400 |
j-invariant |
L |
7.0720036037618 |
L(r)(E,1)/r! |
Ω |
0.54559924636013 |
Real period |
R |
1.6202376677877 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000011 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
6650r2 11970cf2 |
Quadratic twists by: -3 5 |