Atkin-Lehner |
2- 7+ 11- 67- |
Signs for the Atkin-Lehner involutions |
Class |
113498n |
Isogeny class |
Conductor |
113498 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
3104640 |
Modular degree for the optimal curve |
Δ |
-9.3474354833991E+19 |
Discriminant |
Eigenvalues |
2- 0 -1 7+ 11- 5 3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-844603,-552631637] |
[a1,a2,a3,a4,a6] |
j |
-2568941635689/3603841024 |
j-invariant |
L |
4.1953088808973 |
L(r)(E,1)/r! |
Ω |
0.074916219875712 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113498h1 |
Quadratic twists by: -11 |