Atkin-Lehner |
2+ 3- 5+ 7+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
39270y |
Isogeny class |
Conductor |
39270 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
241274880 = 212 · 32 · 5 · 7 · 11 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 11+ 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1249,-17068] |
[a1,a2,a3,a4,a6] |
Generators |
[-20:11:1] |
Generators of the group modulo torsion |
j |
215234107022089/241274880 |
j-invariant |
L |
4.8898427049588 |
L(r)(E,1)/r! |
Ω |
0.80321135113103 |
Real period |
R |
1.5219663847103 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000000018 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117810dz1 |
Quadratic twists by: -3 |