Atkin-Lehner |
2+ 5+ 17+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
106930d |
Isogeny class |
Conductor |
106930 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1935360 |
Modular degree for the optimal curve |
Δ |
-1585075204228026250 = -1 · 2 · 54 · 1711 · 37 |
Discriminant |
Eigenvalues |
2+ -2 5+ -1 2 -5 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-124999,62906172] |
[a1,a2,a3,a4,a6] |
j |
-8948387971081/65668386250 |
j-invariant |
L |
0.91821411046778 |
L(r)(E,1)/r! |
Ω |
0.22955340693247 |
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 |
6290f1 |
Quadratic twists by: 17 |