Atkin-Lehner |
2- 7- 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
62678l |
Isogeny class |
Conductor |
62678 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
13056 |
Modular degree for the optimal curve |
Δ |
-3509968 = -1 · 24 · 72 · 112 · 37 |
Discriminant |
Eigenvalues |
2- -2 -2 7- 11- 4 -4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,36,-32] |
[a1,a2,a3,a4,a6] |
Generators |
[2:6:1] |
Generators of the group modulo torsion |
j |
42568823/29008 |
j-invariant |
L |
5.0397314497113 |
L(r)(E,1)/r! |
Ω |
1.4175829040542 |
Real period |
R |
0.44439477184504 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999253 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62678d1 |
Quadratic twists by: -11 |