Atkin-Lehner |
2- 5+ 37- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
75850m |
Isogeny class |
Conductor |
75850 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
35424 |
Modular degree for the optimal curve |
Δ |
-718451200 = -1 · 29 · 52 · 372 · 41 |
Discriminant |
Eigenvalues |
2- -2 5+ 1 -2 3 8 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,222,-188] |
[a1,a2,a3,a4,a6] |
Generators |
[6:34:1] |
Generators of the group modulo torsion |
j |
48386070455/28738048 |
j-invariant |
L |
7.9879641087127 |
L(r)(E,1)/r! |
Ω |
0.93858160016516 |
Real period |
R |
0.47281534569098 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001715 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75850g1 |
Quadratic twists by: 5 |