Atkin-Lehner |
2- 5+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
110450y |
Isogeny class |
Conductor |
110450 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
529920 |
Modular degree for the optimal curve |
Δ |
-1190564333088050 = -1 · 2 · 52 · 478 |
Discriminant |
Eigenvalues |
2- 1 5+ 4 -1 4 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,26462,-101738] |
[a1,a2,a3,a4,a6] |
Generators |
[3289331809711963158:71713129502161783817:7525157425017128] |
Generators of the group modulo torsion |
j |
7604375/4418 |
j-invariant |
L |
15.443805228406 |
L(r)(E,1)/r! |
Ω |
0.28825598245864 |
Real period |
R |
26.788351618379 |
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 |
110450r1 2350j1 |
Quadratic twists by: 5 -47 |