Atkin-Lehner |
2- 3- 11- 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
118404n |
Isogeny class |
Conductor |
118404 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
-7123184166384 = -1 · 24 · 39 · 11 · 132 · 233 |
Discriminant |
Eigenvalues |
2- 3- 3 -1 11- 13- 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1239,-127307] |
[a1,a2,a3,a4,a6] |
Generators |
[42410:38961:1000] |
Generators of the group modulo torsion |
j |
18033919232/610698231 |
j-invariant |
L |
9.5118259363056 |
L(r)(E,1)/r! |
Ω |
0.3590870649276 |
Real period |
R |
6.6222281730721 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000025766 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39468h1 |
Quadratic twists by: -3 |