Atkin-Lehner |
2- 5+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
14800z |
Isogeny class |
Conductor |
14800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
105984 |
Modular degree for the optimal curve |
Δ |
-1175962045644800 = -1 · 235 · 52 · 372 |
Discriminant |
Eigenvalues |
2- 3 5+ 0 1 -2 -7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-49675,-4569670] |
[a1,a2,a3,a4,a6] |
Generators |
[234901047:8226262466:185193] |
Generators of the group modulo torsion |
j |
-132384574175625/11484004352 |
j-invariant |
L |
8.1659097890385 |
L(r)(E,1)/r! |
Ω |
0.15910705644792 |
Real period |
R |
12.830841653638 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1850m1 59200cp1 14800bf1 |
Quadratic twists by: -4 8 5 |