Atkin-Lehner |
2- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
67600dc |
Isogeny class |
Conductor |
67600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
290304 |
Modular degree for the optimal curve |
Δ |
-642544814080000 = -1 · 214 · 54 · 137 |
Discriminant |
Eigenvalues |
2- 2 5- -1 3 13+ 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-69008,-7060288] |
[a1,a2,a3,a4,a6] |
Generators |
[1355922:57842954:729] |
Generators of the group modulo torsion |
j |
-2941225/52 |
j-invariant |
L |
9.535935407615 |
L(r)(E,1)/r! |
Ω |
0.14712570369387 |
Real period |
R |
8.1018604904648 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000526 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8450y1 67600bz1 5200bi1 |
Quadratic twists by: -4 5 13 |