Atkin-Lehner |
2+ 3+ 5+ 29+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
107010a |
Isogeny class |
Conductor |
107010 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1432704 |
Modular degree for the optimal curve |
Δ |
-14977975680000000 = -1 · 213 · 39 · 57 · 29 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -5 3 0 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-48750,-7187500] |
[a1,a2,a3,a4,a6] |
j |
-650970474102963/760960000000 |
j-invariant |
L |
1.229763328815 |
L(r)(E,1)/r! |
Ω |
0.15372046379126 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
107010o1 |
Quadratic twists by: -3 |