Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
30492bi |
Isogeny class |
Conductor |
30492 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
-386634514687344 = -1 · 24 · 311 · 7 · 117 |
Discriminant |
Eigenvalues |
2- 3- 3 7- 11- -3 -2 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-24321,1739617] |
[a1,a2,a3,a4,a6] |
Generators |
[473:9801:1] |
Generators of the group modulo torsion |
j |
-76995328/18711 |
j-invariant |
L |
7.1641472309929 |
L(r)(E,1)/r! |
Ω |
0.5094495329928 |
Real period |
R |
0.2929692887057 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121968eq1 10164x1 2772i1 |
Quadratic twists by: -4 -3 -11 |