Atkin-Lehner |
2- 3- 7- 11- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
123354ca |
Isogeny class |
Conductor |
123354 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-75397172004 = -1 · 22 · 36 · 74 · 112 · 89 |
Discriminant |
Eigenvalues |
2- 3- -1 7- 11- 2 -1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4118,-101527] |
[a1,a2,a3,a4,a6] |
Generators |
[169:1917:1] |
Generators of the group modulo torsion |
j |
-10591472326681/103425476 |
j-invariant |
L |
11.065732874556 |
L(r)(E,1)/r! |
Ω |
0.29781962940099 |
Real period |
R |
2.3222388087036 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000047296 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13706e1 |
Quadratic twists by: -3 |