Atkin-Lehner |
2- 5- 17+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
103700j |
Isogeny class |
Conductor |
103700 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
192000 |
Modular degree for the optimal curve |
Δ |
33605281250000 = 24 · 59 · 172 · 612 |
Discriminant |
Eigenvalues |
2- 0 5- -2 -4 0 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9500,-221875] |
[a1,a2,a3,a4,a6] |
j |
3034202112/1075369 |
j-invariant |
L |
0.99545494030571 |
L(r)(E,1)/r! |
Ω |
0.49772749422232 |
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 |
103700l1 |
Quadratic twists by: 5 |