Atkin-Lehner |
2- 3- 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
118188bm |
Isogeny class |
Conductor |
118188 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1769472 |
Modular degree for the optimal curve |
Δ |
-2574839866842931968 = -1 · 28 · 312 · 710 · 67 |
Discriminant |
Eigenvalues |
2- 3- -4 7- -2 4 1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,332808,-22343020] |
[a1,a2,a3,a4,a6] |
Generators |
[33733:6196491:1] |
Generators of the group modulo torsion |
j |
185673211904/117272043 |
j-invariant |
L |
4.3592848557536 |
L(r)(E,1)/r! |
Ω |
0.14748239324635 |
Real period |
R |
7.3895004977661 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999599273 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39396h1 16884n1 |
Quadratic twists by: -3 -7 |