Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
58800cu |
Isogeny class |
Conductor |
58800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
22579200 = 211 · 32 · 52 · 72 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 -4 -1 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-128,468] |
[a1,a2,a3,a4,a6] |
Generators |
[4:6:1] |
Generators of the group modulo torsion |
j |
93170/9 |
j-invariant |
L |
6.9921220181225 |
L(r)(E,1)/r! |
Ω |
2.0826021475842 |
Real period |
R |
0.83934922786879 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999881 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29400cq1 58800bv1 58800c1 |
Quadratic twists by: -4 5 -7 |