Atkin-Lehner |
2- 3+ 37+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
52614f |
Isogeny class |
Conductor |
52614 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
106176 |
Modular degree for the optimal curve |
Δ |
-13075237306368 = -1 · 221 · 33 · 37 · 792 |
Discriminant |
Eigenvalues |
2- 3+ 0 -3 -3 1 -5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,4870,113465] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:199:1] [21:-485:1] |
Generators of the group modulo torsion |
j |
473184415828125/484268048384 |
j-invariant |
L |
13.01437970808 |
L(r)(E,1)/r! |
Ω |
0.46797911513263 |
Real period |
R |
0.33106838906472 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999978 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52614a1 |
Quadratic twists by: -3 |