Atkin-Lehner |
2- 5+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
126400cf |
Isogeny class |
Conductor |
126400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
-505600000000 = -1 · 214 · 58 · 79 |
Discriminant |
Eigenvalues |
2- 2 5+ 2 4 2 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1967,5937] |
[a1,a2,a3,a4,a6] |
Generators |
[27321:279000:343] |
Generators of the group modulo torsion |
j |
3286064/1975 |
j-invariant |
L |
12.423519794944 |
L(r)(E,1)/r! |
Ω |
0.56960079885415 |
Real period |
R |
5.4527310304568 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999930809 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
126400n1 31600e1 25280w1 |
Quadratic twists by: -4 8 5 |