Atkin-Lehner |
2- 3- 5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
107100bd |
Isogeny class |
Conductor |
107100 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-15615180000000 = -1 · 28 · 38 · 57 · 7 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -2 5 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-19200,-1041500] |
[a1,a2,a3,a4,a6] |
j |
-268435456/5355 |
j-invariant |
L |
2.4305923586867 |
L(r)(E,1)/r! |
Ω |
0.20254935825211 |
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 |
35700ba1 21420o1 |
Quadratic twists by: -3 5 |