Atkin-Lehner |
2- 5- 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
64480n |
Isogeny class |
Conductor |
64480 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
105984 |
Modular degree for the optimal curve |
Δ |
-103110225920 = -1 · 212 · 5 · 132 · 313 |
Discriminant |
Eigenvalues |
2- 3 5- 2 -4 13- -1 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1912,35696] |
[a1,a2,a3,a4,a6] |
Generators |
[660:-1612:27] |
Generators of the group modulo torsion |
j |
-188724128256/25173395 |
j-invariant |
L |
13.039234901903 |
L(r)(E,1)/r! |
Ω |
1.0281359591106 |
Real period |
R |
1.0568669433379 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000468 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64480l1 128960z1 |
Quadratic twists by: -4 8 |