Atkin-Lehner |
2- 3- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
110352cm |
Isogeny class |
Conductor |
110352 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
345600 |
Modular degree for the optimal curve |
Δ |
-145590681206784 = -1 · 217 · 3 · 117 · 19 |
Discriminant |
Eigenvalues |
2- 3- 3 2 11- 0 -7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-12624,-801132] |
[a1,a2,a3,a4,a6] |
Generators |
[86786:25566816:1] |
Generators of the group modulo torsion |
j |
-30664297/20064 |
j-invariant |
L |
11.763821360122 |
L(r)(E,1)/r! |
Ω |
0.218776114229 |
Real period |
R |
6.7213812339219 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009562 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13794bc1 10032r1 |
Quadratic twists by: -4 -11 |