Atkin-Lehner |
2- 3+ 5+ 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
70380i |
Isogeny class |
Conductor |
70380 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
17664 |
Modular degree for the optimal curve |
Δ |
71787600 = 24 · 33 · 52 · 172 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 0 -6 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-108,-143] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:10:1] [-6:17:1] |
Generators of the group modulo torsion |
j |
322486272/166175 |
j-invariant |
L |
9.3521253137093 |
L(r)(E,1)/r! |
Ω |
1.5658555920656 |
Real period |
R |
0.99542228553919 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000042 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
70380k1 |
Quadratic twists by: -3 |