Atkin-Lehner |
2+ 5+ 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
19550j |
Isogeny class |
Conductor |
19550 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1935360 |
Modular degree for the optimal curve |
Δ |
-745773315429687500 = -1 · 22 · 521 · 17 · 23 |
Discriminant |
Eigenvalues |
2+ -1 5+ 2 1 4 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-191673750,1021311250000] |
[a1,a2,a3,a4,a6] |
Generators |
[17572750:-6833250:2197] |
Generators of the group modulo torsion |
j |
-49841557909700385914920801/47729492187500 |
j-invariant |
L |
3.2919955504395 |
L(r)(E,1)/r! |
Ω |
0.17871293873619 |
Real period |
R |
2.302572196031 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3910l1 |
Quadratic twists by: 5 |