Atkin-Lehner |
2+ 3+ 11- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
48906f |
Isogeny class |
Conductor |
48906 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
62208 |
Modular degree for the optimal curve |
Δ |
-18643749696 = -1 · 26 · 33 · 112 · 13 · 193 |
Discriminant |
Eigenvalues |
2+ 3+ 1 1 11- 13+ 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-9519,359917] |
[a1,a2,a3,a4,a6] |
Generators |
[38:-247:1] |
Generators of the group modulo torsion |
j |
-3533129790478443/690509248 |
j-invariant |
L |
5.1326437991275 |
L(r)(E,1)/r! |
Ω |
1.1883422836937 |
Real period |
R |
0.17996511714723 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000048 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48906v1 |
Quadratic twists by: -3 |