Atkin-Lehner |
2- 3+ 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
109368bc |
Isogeny class |
Conductor |
109368 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
499968 |
Modular degree for the optimal curve |
Δ |
900486635666688 = 28 · 39 · 78 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ -3 6 1 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-37044,-2333772] |
[a1,a2,a3,a4,a6] |
j |
193536/31 |
j-invariant |
L |
4.1742405947755 |
L(r)(E,1)/r! |
Ω |
0.34785337760437 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
109368a1 109368bh1 |
Quadratic twists by: -3 -7 |