Atkin-Lehner |
13+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
102973b |
Isogeny class |
Conductor |
102973 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
62100 |
Modular degree for the optimal curve |
Δ |
17402437 = 133 · 892 |
Discriminant |
Eigenvalues |
-2 1 -2 -2 -4 13+ 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-1394,-20504] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:0:1] |
Generators of the group modulo torsion |
j |
37848051712/2197 |
j-invariant |
L |
1.0867879804739 |
L(r)(E,1)/r! |
Ω |
0.78128487146763 |
Real period |
R |
1.391026482286 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000313337 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
102973e1 |
Quadratic twists by: 89 |