Atkin-Lehner |
2- 3+ 19+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
8436a |
Isogeny class |
Conductor |
8436 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1824 |
Modular degree for the optimal curve |
Δ |
-23722032 = -1 · 24 · 3 · 192 · 372 |
Discriminant |
Eigenvalues |
2- 3+ 0 -4 2 -2 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-233,-1314] |
[a1,a2,a3,a4,a6] |
Generators |
[702:18582:1] |
Generators of the group modulo torsion |
j |
-87808000000/1482627 |
j-invariant |
L |
3.1079818289357 |
L(r)(E,1)/r! |
Ω |
0.610154769806 |
Real period |
R |
5.0937597847901 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33744n1 25308e1 |
Quadratic twists by: -4 -3 |