Atkin-Lehner |
3- 5- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
50715bt |
Isogeny class |
Conductor |
50715 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
359424 |
Modular degree for the optimal curve |
Δ |
-1617795619657875 = -1 · 314 · 53 · 76 · 23 |
Discriminant |
Eigenvalues |
2 3- 5- 7- 2 6 1 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-44247,4071667] |
[a1,a2,a3,a4,a6] |
Generators |
[3266:58811:8] |
Generators of the group modulo torsion |
j |
-111701610496/18862875 |
j-invariant |
L |
14.532133141482 |
L(r)(E,1)/r! |
Ω |
0.45683065882568 |
Real period |
R |
5.3017943158034 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16905f1 1035a1 |
Quadratic twists by: -3 -7 |