Atkin-Lehner |
2+ 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
78650h |
Isogeny class |
Conductor |
78650 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
2010392312500 = 22 · 56 · 114 · 133 |
Discriminant |
Eigenvalues |
2+ -1 5+ -2 11- 13+ -3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-62075,-5978375] |
[a1,a2,a3,a4,a6] |
Generators |
[-145:85:1] [-144:91:1] |
Generators of the group modulo torsion |
j |
115636266625/8788 |
j-invariant |
L |
6.2674010873449 |
L(r)(E,1)/r! |
Ω |
0.30246243352857 |
Real period |
R |
5.1803136459944 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000175 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3146o2 78650ck2 |
Quadratic twists by: 5 -11 |