Atkin-Lehner |
2- 3+ 5+ 19+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
17670l |
Isogeny class |
Conductor |
17670 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
334880 |
Modular degree for the optimal curve |
Δ |
562200212402343750 = 2 · 3 · 513 · 195 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 5 -1 3 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-215321,13235729] |
[a1,a2,a3,a4,a6] |
Generators |
[12491977163952754:199459035297121535:214857221288984] |
Generators of the group modulo torsion |
j |
1104035409161690822929/562200212402343750 |
j-invariant |
L |
7.2332792802369 |
L(r)(E,1)/r! |
Ω |
0.25725162657197 |
Real period |
R |
28.117525928308 |
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 |
53010u1 88350bd1 |
Quadratic twists by: -3 5 |