Atkin-Lehner |
2+ 5+ 17+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
87550b |
Isogeny class |
Conductor |
87550 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
163584 |
Modular degree for the optimal curve |
Δ |
-704503906250 = -1 · 2 · 59 · 17 · 1032 |
Discriminant |
Eigenvalues |
2+ 1 5+ -4 -6 -3 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,2224,448] |
[a1,a2,a3,a4,a6] |
Generators |
[112:1231:1] |
Generators of the group modulo torsion |
j |
77909194511/45088250 |
j-invariant |
L |
2.1753422669573 |
L(r)(E,1)/r! |
Ω |
0.54040780556982 |
Real period |
R |
1.0063429203911 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999536631 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17510j1 |
Quadratic twists by: 5 |