Atkin-Lehner |
2- 23- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
124844b |
Isogeny class |
Conductor |
124844 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
177408 |
Modular degree for the optimal curve |
Δ |
-139745879216 = -1 · 24 · 236 · 59 |
Discriminant |
Eigenvalues |
2- 1 -3 1 -6 -4 6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4937,-136384] |
[a1,a2,a3,a4,a6] |
Generators |
[176:2116:1] |
Generators of the group modulo torsion |
j |
-5619712/59 |
j-invariant |
L |
3.8322471336953 |
L(r)(E,1)/r! |
Ω |
0.28459330148321 |
Real period |
R |
2.2442828005101 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000061949 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
236b1 |
Quadratic twists by: -23 |