Atkin-Lehner |
2+ 3- 5+ 11- 61- |
Signs for the Atkin-Lehner involutions |
Class |
100650y |
Isogeny class |
Conductor |
100650 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
2190240 |
Modular degree for the optimal curve |
Δ |
-4735059120000000000 = -1 · 213 · 36 · 510 · 113 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 11- -3 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-642826,-224360452] |
[a1,a2,a3,a4,a6] |
j |
-3008174322760225/484870053888 |
j-invariant |
L |
1.5041512600293 |
L(r)(E,1)/r! |
Ω |
0.083563955401044 |
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 |
100650ca1 |
Quadratic twists by: 5 |