Atkin-Lehner |
2+ 3+ 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
20400k |
Isogeny class |
Conductor |
20400 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
38400 |
Modular degree for the optimal curve |
Δ |
-7022700000000 = -1 · 28 · 35 · 58 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -1 -2 5 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1167,-126963] |
[a1,a2,a3,a4,a6] |
j |
1756160/70227 |
j-invariant |
L |
2.1514469250396 |
L(r)(E,1)/r! |
Ω |
0.35857448750659 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10200u1 81600jf1 61200cq1 20400bc1 |
Quadratic twists by: -4 8 -3 5 |