Atkin-Lehner |
2+ 3+ 37+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
118992a |
Isogeny class |
Conductor |
118992 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
112896 |
Modular degree for the optimal curve |
Δ |
-189711682416 = -1 · 24 · 314 · 37 · 67 |
Discriminant |
Eigenvalues |
2+ 3+ 1 4 2 1 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1200,-13941] |
[a1,a2,a3,a4,a6] |
Generators |
[4197:53351:27] |
Generators of the group modulo torsion |
j |
11933985484544/11856980151 |
j-invariant |
L |
8.0740382761779 |
L(r)(E,1)/r! |
Ω |
0.5489736964595 |
Real period |
R |
7.3537569154864 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000052835 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59496g1 |
Quadratic twists by: -4 |