Atkin-Lehner |
2- 5+ 11+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
43450r |
Isogeny class |
Conductor |
43450 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
58368 |
Modular degree for the optimal curve |
Δ |
-59743750000 = -1 · 24 · 58 · 112 · 79 |
Discriminant |
Eigenvalues |
2- -2 5+ -4 11+ -6 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,662,-9708] |
[a1,a2,a3,a4,a6] |
Generators |
[22:114:1] |
Generators of the group modulo torsion |
j |
2053225511/3823600 |
j-invariant |
L |
3.6568328420561 |
L(r)(E,1)/r! |
Ω |
0.58113081707056 |
Real period |
R |
0.78657694933394 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000037 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8690a1 |
Quadratic twists by: 5 |