Atkin-Lehner |
3- 5- 7- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
33915p |
Isogeny class |
Conductor |
33915 |
Conductor |
∏ cp |
540 |
Product of Tamagawa factors cp |
deg |
2799360 |
Modular degree for the optimal curve |
Δ |
-1.286243038559E+22 |
Discriminant |
Eigenvalues |
1 3- 5- 7- -6 -2 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-10824643,14753030633] |
[a1,a2,a3,a4,a6] |
Generators |
[6169:-430585:1] |
Generators of the group modulo torsion |
j |
-140269872020350108676449321/12862430385589599609375 |
j-invariant |
L |
8.1281567147416 |
L(r)(E,1)/r! |
Ω |
0.1233682010465 |
Real period |
R |
0.48803960620815 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
101745y1 |
Quadratic twists by: -3 |