Atkin-Lehner |
2+ 3+ 7+ 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
126672d |
Isogeny class |
Conductor |
126672 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4239360 |
Modular degree for the optimal curve |
Δ |
178466352796368 = 24 · 36 · 72 · 135 · 292 |
Discriminant |
Eigenvalues |
2+ 3+ 4 7+ 4 13+ -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6064191,5749898238] |
[a1,a2,a3,a4,a6] |
Generators |
[904413582:-6578955:636056] |
Generators of the group modulo torsion |
j |
1541425061328250699577344/11154147049773 |
j-invariant |
L |
8.373701542974 |
L(r)(E,1)/r! |
Ω |
0.39277721860693 |
Real period |
R |
10.65960698438 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999730562 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63336s1 |
Quadratic twists by: -4 |