Atkin-Lehner |
2- 5- 7- 103- |
Signs for the Atkin-Lehner involutions |
Class |
50470r |
Isogeny class |
Conductor |
50470 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
-8063172738978560 = -1 · 28 · 5 · 78 · 1033 |
Discriminant |
Eigenvalues |
2- -3 5- 7- -2 0 4 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-88332,11011599] |
[a1,a2,a3,a4,a6] |
Generators |
[359:4867:1] |
Generators of the group modulo torsion |
j |
-647865799013889/68535837440 |
j-invariant |
L |
5.8901629491479 |
L(r)(E,1)/r! |
Ω |
0.40430388339965 |
Real period |
R |
0.30351360238093 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7210d1 |
Quadratic twists by: -7 |