Atkin-Lehner |
2- 3+ 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
74958q |
Isogeny class |
Conductor |
74958 |
Conductor |
∏ cp |
11 |
Product of Tamagawa factors cp |
deg |
34320 |
Modular degree for the optimal curve |
Δ |
76756992 = 211 · 3 · 13 · 312 |
Discriminant |
Eigenvalues |
2- 3+ 0 5 -4 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-113,143] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:16:1] |
Generators of the group modulo torsion |
j |
166140625/79872 |
j-invariant |
L |
10.392672990905 |
L(r)(E,1)/r! |
Ω |
1.7222824471676 |
Real period |
R |
0.54856766080983 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004468 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74958w1 |
Quadratic twists by: -31 |