Atkin-Lehner |
2+ 3+ 17- 53- |
Signs for the Atkin-Lehner involutions |
Class |
43248b |
Isogeny class |
Conductor |
43248 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
62464 |
Modular degree for the optimal curve |
Δ |
-36674304 = -1 · 28 · 3 · 17 · 532 |
Discriminant |
Eigenvalues |
2+ 3+ -1 2 3 -1 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-70601,7244037] |
[a1,a2,a3,a4,a6] |
Generators |
[19220:53:125] |
Generators of the group modulo torsion |
j |
-152027605648743424/143259 |
j-invariant |
L |
5.2567503184995 |
L(r)(E,1)/r! |
Ω |
1.2907619237321 |
Real period |
R |
2.0362974076993 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999885 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21624d1 129744a1 |
Quadratic twists by: -4 -3 |