Atkin-Lehner |
2+ 3- 5+ 17+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
23970f |
Isogeny class |
Conductor |
23970 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
6528 |
Modular degree for the optimal curve |
Δ |
-20278620 = -1 · 22 · 33 · 5 · 17 · 472 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 0 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,16,-214] |
[a1,a2,a3,a4,a6] |
Generators |
[6:7:1] |
Generators of the group modulo torsion |
j |
494913671/20278620 |
j-invariant |
L |
5.0680645784372 |
L(r)(E,1)/r! |
Ω |
1.0376255493005 |
Real period |
R |
1.6280968222283 |
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 |
71910bi1 119850bw1 |
Quadratic twists by: -3 5 |