Atkin-Lehner |
2- 3+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
21294bw |
Isogeny class |
Conductor |
21294 |
Conductor |
∏ cp |
486 |
Product of Tamagawa factors cp |
deg |
233280 |
Modular degree for the optimal curve |
Δ |
-35501048214847488 = -1 · 227 · 33 · 73 · 134 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- -6 13+ -3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,81595,-1323331] |
[a1,a2,a3,a4,a6] |
Generators |
[63:1984:1] |
Generators of the group modulo torsion |
j |
77908020328125/46036680704 |
j-invariant |
L |
7.705745366304 |
L(r)(E,1)/r! |
Ω |
0.21491209715548 |
Real period |
R |
0.66398769614933 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
21294k2 21294d1 |
Quadratic twists by: -3 13 |