Atkin-Lehner |
3- 5+ 11+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
83325p |
Isogeny class |
Conductor |
83325 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
76032 |
Modular degree for the optimal curve |
Δ |
1718578125 = 32 · 56 · 112 · 101 |
Discriminant |
Eigenvalues |
2 3- 5+ 2 11+ 5 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-1308,17669] |
[a1,a2,a3,a4,a6] |
Generators |
[202:293:8] |
Generators of the group modulo torsion |
j |
15851081728/109989 |
j-invariant |
L |
18.521943232492 |
L(r)(E,1)/r! |
Ω |
1.5006825652934 |
Real period |
R |
3.0855864613928 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003899 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3333b1 |
Quadratic twists by: 5 |