Atkin-Lehner |
2+ 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
48050k |
Isogeny class |
Conductor |
48050 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
760320 |
Modular degree for the optimal curve |
Δ |
-35216146062080000 = -1 · 211 · 54 · 317 |
Discriminant |
Eigenvalues |
2+ 0 5- -5 -5 7 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-136642,21469716] |
[a1,a2,a3,a4,a6] |
Generators |
[225:1329:1] |
Generators of the group modulo torsion |
j |
-508660425/63488 |
j-invariant |
L |
1.8635443810431 |
L(r)(E,1)/r! |
Ω |
0.35615988148542 |
Real period |
R |
1.3080813406673 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999017 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48050t1 1550e1 |
Quadratic twists by: 5 -31 |