Atkin-Lehner |
2+ 5+ 17- 31- |
Signs for the Atkin-Lehner involutions |
Class |
105400h |
Isogeny class |
Conductor |
105400 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1150848 |
Modular degree for the optimal curve |
Δ |
-187066159750000 = -1 · 24 · 56 · 176 · 31 |
Discriminant |
Eigenvalues |
2+ 0 5+ -3 -4 4 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1819775,944875875] |
[a1,a2,a3,a4,a6] |
Generators |
[779:17:1] |
Generators of the group modulo torsion |
j |
-2665856613954845952/748264639 |
j-invariant |
L |
5.1743470771749 |
L(r)(E,1)/r! |
Ω |
0.45500412134822 |
Real period |
R |
0.94767403311692 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999768479 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4216d1 |
Quadratic twists by: 5 |