Atkin-Lehner |
2- 3- 5+ 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
70380y |
Isogeny class |
Conductor |
70380 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-682320750091879680 = -1 · 28 · 320 · 5 · 172 · 232 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 0 2 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-81543,40740302] |
[a1,a2,a3,a4,a6] |
Generators |
[-146:7038:1] [682:17388:1] |
Generators of the group modulo torsion |
j |
-321304105131856/3656125418445 |
j-invariant |
L |
9.2012901948283 |
L(r)(E,1)/r! |
Ω |
0.24382963704892 |
Real period |
R |
9.4341384277506 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999975 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23460g2 |
Quadratic twists by: -3 |