Atkin-Lehner |
2- 3- 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
118188be |
Isogeny class |
Conductor |
118188 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
40320 |
Modular degree for the optimal curve |
Δ |
268050384 = 24 · 36 · 73 · 67 |
Discriminant |
Eigenvalues |
2- 3- 1 7- 6 1 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-252,-1323] |
[a1,a2,a3,a4,a6] |
Generators |
[91:854:1] |
Generators of the group modulo torsion |
j |
442368/67 |
j-invariant |
L |
8.7912762747292 |
L(r)(E,1)/r! |
Ω |
1.2104322113911 |
Real period |
R |
3.6314616424157 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999794189 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13132g1 118188bg1 |
Quadratic twists by: -3 -7 |