Atkin-Lehner |
2- 3- 5+ 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
70380y |
Isogeny class |
Conductor |
70380 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
451584 |
Modular degree for the optimal curve |
Δ |
1225066951803600 = 24 · 313 · 52 · 174 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 0 2 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-146568,21531917] |
[a1,a2,a3,a4,a6] |
Generators |
[-401:3978:1] [1586:4131:8] |
Generators of the group modulo torsion |
j |
29853392180740096/105029745525 |
j-invariant |
L |
9.2012901948283 |
L(r)(E,1)/r! |
Ω |
0.48765927409783 |
Real period |
R |
2.3585346069376 |
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 |
23460g1 |
Quadratic twists by: -3 |