Atkin-Lehner |
2- 5+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
126400bz |
Isogeny class |
Conductor |
126400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
20224000000 = 214 · 56 · 79 |
Discriminant |
Eigenvalues |
2- 1 5+ 3 2 -1 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-18033,926063] |
[a1,a2,a3,a4,a6] |
Generators |
[67:152:1] |
Generators of the group modulo torsion |
j |
2533446736/79 |
j-invariant |
L |
9.5319733138841 |
L(r)(E,1)/r! |
Ω |
1.133261309926 |
Real period |
R |
2.1027747796752 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000114045 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126400i1 31600p1 5056s1 |
Quadratic twists by: -4 8 5 |