Atkin-Lehner |
2+ 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
66424c |
Isogeny class |
Conductor |
66424 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-121051686382336 = -1 · 28 · 197 · 232 |
Discriminant |
Eigenvalues |
2+ 0 1 -5 3 -4 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,10108,-356668] |
[a1,a2,a3,a4,a6] |
Generators |
[646:16606:1] |
Generators of the group modulo torsion |
j |
9483264/10051 |
j-invariant |
L |
4.4267449465726 |
L(r)(E,1)/r! |
Ω |
0.31887609955105 |
Real period |
R |
0.43382297941903 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000552 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3496g1 |
Quadratic twists by: -19 |