Atkin-Lehner |
2+ 3- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
110400dt |
Isogeny class |
Conductor |
110400 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-21461760000000 = -1 · 214 · 36 · 57 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 0 -4 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,5867,-138637] |
[a1,a2,a3,a4,a6] |
Generators |
[38:375:1] |
Generators of the group modulo torsion |
j |
87228416/83835 |
j-invariant |
L |
9.1438811984079 |
L(r)(E,1)/r! |
Ω |
0.37119771710004 |
Real period |
R |
2.0527876741508 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000020098 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110400fn1 6900c1 22080o1 |
Quadratic twists by: -4 8 5 |