Atkin-Lehner |
2- 3+ 11- 83- |
Signs for the Atkin-Lehner involutions |
Class |
60258w |
Isogeny class |
Conductor |
60258 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
376320 |
Modular degree for the optimal curve |
Δ |
238500523819008 = 214 · 32 · 117 · 83 |
Discriminant |
Eigenvalues |
2- 3+ 4 2 11- 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-15551,-77659] |
[a1,a2,a3,a4,a6] |
j |
234770924809/134627328 |
j-invariant |
L |
6.4956688911116 |
L(r)(E,1)/r! |
Ω |
0.4639763491544 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5478b1 |
Quadratic twists by: -11 |