Atkin-Lehner |
2- 3- 5- 23- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
120060m |
Isogeny class |
Conductor |
120060 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
202752 |
Modular degree for the optimal curve |
Δ |
-63894080674800 = -1 · 24 · 39 · 52 · 234 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 1 3 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-13197,698861] |
[a1,a2,a3,a4,a6] |
Generators |
[127:-1035:1] |
Generators of the group modulo torsion |
j |
-21792238898944/5477887575 |
j-invariant |
L |
7.7040827504172 |
L(r)(E,1)/r! |
Ω |
0.59131805228001 |
Real period |
R |
0.27143044880231 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999783027 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40020c1 |
Quadratic twists by: -3 |