Atkin-Lehner |
2- 5+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
94400cy |
Isogeny class |
Conductor |
94400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
21888 |
Modular degree for the optimal curve |
Δ |
-48332800 = -1 · 215 · 52 · 59 |
Discriminant |
Eigenvalues |
2- -2 5+ 1 4 -2 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-193,1023] |
[a1,a2,a3,a4,a6] |
Generators |
[7:-8:1] |
Generators of the group modulo torsion |
j |
-975560/59 |
j-invariant |
L |
4.6549972128246 |
L(r)(E,1)/r! |
Ω |
1.9811714218489 |
Real period |
R |
0.58740464892969 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999972973 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
94400by1 47200t1 94400dn1 |
Quadratic twists by: -4 8 5 |