Atkin-Lehner |
2- 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
100048g |
Isogeny class |
Conductor |
100048 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-819593216 = -1 · 217 · 132 · 37 |
Discriminant |
Eigenvalues |
2- 0 -3 0 -3 13+ 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,221,546] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:18:1] [17:96:1] |
Generators of the group modulo torsion |
j |
1724463/1184 |
j-invariant |
L |
8.7255467857168 |
L(r)(E,1)/r! |
Ω |
1.00184855782 |
Real period |
R |
2.1773617171157 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001303 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12506c1 100048m1 |
Quadratic twists by: -4 13 |