Atkin-Lehner |
2- 3+ 31+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
20646l |
Isogeny class |
Conductor |
20646 |
Conductor |
∏ cp |
88 |
Product of Tamagawa factors cp |
deg |
126720 |
Modular degree for the optimal curve |
Δ |
-3087348775888896 = -1 · 211 · 33 · 313 · 374 |
Discriminant |
Eigenvalues |
2- 3+ 1 0 -5 3 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,15913,2555247] |
[a1,a2,a3,a4,a6] |
Generators |
[35:1758:1] |
Generators of the group modulo torsion |
j |
16505995490324397/114346250958848 |
j-invariant |
L |
8.0858699898408 |
L(r)(E,1)/r! |
Ω |
0.32680894446836 |
Real period |
R |
0.28115780734725 |
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 |
20646b1 |
Quadratic twists by: -3 |