Atkin-Lehner |
2- 3+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
21294bu |
Isogeny class |
Conductor |
21294 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
24960 |
Modular degree for the optimal curve |
Δ |
308346212538 = 2 · 33 · 7 · 138 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- -1 13+ 7 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2060,24613] |
[a1,a2,a3,a4,a6] |
Generators |
[62:727:8] |
Generators of the group modulo torsion |
j |
43875/14 |
j-invariant |
L |
8.2355890309189 |
L(r)(E,1)/r! |
Ω |
0.89509315384579 |
Real period |
R |
4.6004089046679 |
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 |
21294i1 21294b1 |
Quadratic twists by: -3 13 |