Atkin-Lehner |
2+ 3- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
10200u |
Isogeny class |
Conductor |
10200 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
19200 |
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] |
Generators |
[183:-2550:1] |
Generators of the group modulo torsion |
j |
1756160/70227 |
j-invariant |
L |
5.8086149281344 |
L(r)(E,1)/r! |
Ω |
0.56498106430267 |
Real period |
R |
0.085675657928225 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20400k1 81600bn1 30600ct1 10200ba1 |
Quadratic twists by: -4 8 -3 5 |