Atkin-Lehner |
3- 23- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
6417j |
Isogeny class |
Conductor |
6417 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
26880 |
Modular degree for the optimal curve |
Δ |
318109900104459 = 313 · 235 · 31 |
Discriminant |
Eigenvalues |
-1 3- -3 3 3 -6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-24854,-1233966] |
[a1,a2,a3,a4,a6] |
Generators |
[248:2670:1] |
Generators of the group modulo torsion |
j |
2328995685476377/436364746371 |
j-invariant |
L |
2.1976041483014 |
L(r)(E,1)/r! |
Ω |
0.38516331559692 |
Real period |
R |
0.28528212050719 |
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 |
102672br1 2139b1 |
Quadratic twists by: -4 -3 |