Atkin-Lehner |
2+ 3- 5+ 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
107640i |
Isogeny class |
Conductor |
107640 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
458752 |
Modular degree for the optimal curve |
Δ |
-3753174729236400 = -1 · 24 · 322 · 52 · 13 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 4 13- 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2742,-2947007] |
[a1,a2,a3,a4,a6] |
j |
195469297664/321774239475 |
j-invariant |
L |
3.2895872790666 |
L(r)(E,1)/r! |
Ω |
0.20559920806077 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35880u1 |
Quadratic twists by: -3 |