Atkin-Lehner |
2+ 3+ 5+ 7- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
116130c |
Isogeny class |
Conductor |
116130 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
26028851304254400 = 26 · 36 · 52 · 710 · 79 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 2 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1314548,-580609392] |
[a1,a2,a3,a4,a6] |
Generators |
[-664:548:1] [-659:501:1] |
Generators of the group modulo torsion |
j |
2135331636627906361/221241585600 |
j-invariant |
L |
7.4763528711744 |
L(r)(E,1)/r! |
Ω |
0.14099642445891 |
Real period |
R |
6.6281404827315 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000217 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16590k2 |
Quadratic twists by: -7 |