Atkin-Lehner |
2+ 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
101920c |
Isogeny class |
Conductor |
101920 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3981312 |
Modular degree for the optimal curve |
Δ |
4964784976424000 = 26 · 53 · 710 · 133 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7- 2 13+ 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-17941366,-29244390720] |
[a1,a2,a3,a4,a6] |
j |
84824642835624182464/659374625 |
j-invariant |
L |
3.6678003556718 |
L(r)(E,1)/r! |
Ω |
0.07335600584009 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
101920e1 14560f1 |
Quadratic twists by: -4 -7 |