Atkin-Lehner |
2+ 3- 5- 19+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
104310z |
Isogeny class |
Conductor |
104310 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1584000 |
Modular degree for the optimal curve |
Δ |
-8597361193332480000 = -1 · 211 · 36 · 54 · 195 · 612 |
Discriminant |
Eigenvalues |
2+ 3- 5- 1 0 1 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-250344,149145408] |
[a1,a2,a3,a4,a6] |
j |
-2380174077466631809/11793362405120000 |
j-invariant |
L |
1.6108602470258 |
L(r)(E,1)/r! |
Ω |
0.20135761091431 |
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 |
11590g1 |
Quadratic twists by: -3 |