Atkin-Lehner |
2- 5+ 7+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
14140b |
Isogeny class |
Conductor |
14140 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1296 |
Modular degree for the optimal curve |
Δ |
-282800 = -1 · 24 · 52 · 7 · 101 |
Discriminant |
Eigenvalues |
2- -1 5+ 7+ -4 2 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1,26] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:4:1] [1:5:1] |
Generators of the group modulo torsion |
j |
-16384/17675 |
j-invariant |
L |
5.2614110246294 |
L(r)(E,1)/r! |
Ω |
2.4890818066797 |
Real period |
R |
0.35229932382502 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999979 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56560l1 127260l1 70700e1 98980f1 |
Quadratic twists by: -4 -3 5 -7 |