Atkin-Lehner |
2+ 5- 17+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
51850h |
Isogeny class |
Conductor |
51850 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-259250000000 = -1 · 27 · 59 · 17 · 61 |
Discriminant |
Eigenvalues |
2+ -1 5- -1 5 -1 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-12325,522125] |
[a1,a2,a3,a4,a6] |
Generators |
[85:270:1] |
Generators of the group modulo torsion |
j |
-106025300837/132736 |
j-invariant |
L |
3.1760160881404 |
L(r)(E,1)/r! |
Ω |
0.98007963505526 |
Real period |
R |
1.6202847067392 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000023 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
51850y1 |
Quadratic twists by: 5 |