Atkin-Lehner |
2+ 3- 5+ 11+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
101970m |
Isogeny class |
Conductor |
101970 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
2543616 |
Modular degree for the optimal curve |
Δ |
6380517825000000 = 26 · 37 · 58 · 11 · 1032 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 11+ 4 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2414520,1444688896] |
[a1,a2,a3,a4,a6] |
j |
2135446553707748277121/8752425000000 |
j-invariant |
L |
2.978125688563 |
L(r)(E,1)/r! |
Ω |
0.37226568308764 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33990z1 |
Quadratic twists by: -3 |