Atkin-Lehner |
2- 3- 5- 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
39330bv |
Isogeny class |
Conductor |
39330 |
Conductor |
∏ cp |
132 |
Product of Tamagawa factors cp |
deg |
118272 |
Modular degree for the optimal curve |
Δ |
-25885457971200 = -1 · 211 · 37 · 52 · 19 · 233 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 0 5 -7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2597,-249379] |
[a1,a2,a3,a4,a6] |
Generators |
[171:-2156:1] |
Generators of the group modulo torsion |
j |
-2656166199049/35508172800 |
j-invariant |
L |
9.1601495124672 |
L(r)(E,1)/r! |
Ω |
0.28616022716624 |
Real period |
R |
0.24250425277943 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13110j1 |
Quadratic twists by: -3 |