Atkin-Lehner |
2- 3- 7+ 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
47502bf |
Isogeny class |
Conductor |
47502 |
Conductor |
∏ cp |
46 |
Product of Tamagawa factors cp |
deg |
231840 |
Modular degree for the optimal curve |
Δ |
-468009659400192 = -1 · 223 · 36 · 7 · 13 · 292 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 3 13+ 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-43124,3611351] |
[a1,a2,a3,a4,a6] |
Generators |
[133:397:1] |
Generators of the group modulo torsion |
j |
-12165889133809657/641988558848 |
j-invariant |
L |
10.868535125139 |
L(r)(E,1)/r! |
Ω |
0.51975591940571 |
Real period |
R |
0.45458357259435 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999957 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5278a1 |
Quadratic twists by: -3 |