Atkin-Lehner |
2+ 5- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
106400bf |
Isogeny class |
Conductor |
106400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
179200 |
Modular degree for the optimal curve |
Δ |
-20216000000000 = -1 · 212 · 59 · 7 · 192 |
Discriminant |
Eigenvalues |
2+ -1 5- 7- 5 -5 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4333,244037] |
[a1,a2,a3,a4,a6] |
Generators |
[67:500:1] |
Generators of the group modulo torsion |
j |
-1124864/2527 |
j-invariant |
L |
5.7855298625336 |
L(r)(E,1)/r! |
Ω |
0.60647966757271 |
Real period |
R |
1.1924410196715 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999945552 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106400y1 106400ci1 |
Quadratic twists by: -4 5 |