Atkin-Lehner |
2- 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
31850cl |
Isogeny class |
Conductor |
31850 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
395789618656250000 = 24 · 59 · 78 · 133 |
Discriminant |
Eigenvalues |
2- 0 5- 7- 0 13- 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-223180,-26975553] |
[a1,a2,a3,a4,a6] |
Generators |
[-381:1815:1] |
Generators of the group modulo torsion |
j |
5350192749/1722448 |
j-invariant |
L |
8.3444633002936 |
L(r)(E,1)/r! |
Ω |
0.2252596490632 |
Real period |
R |
1.5434898007322 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31850bi1 4550y1 |
Quadratic twists by: 5 -7 |