Atkin-Lehner |
2+ 5- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
59200bm |
Isogeny class |
Conductor |
59200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
317827579904000 = 236 · 53 · 37 |
Discriminant |
Eigenvalues |
2+ 0 5- 2 0 2 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-54860,-4870800] |
[a1,a2,a3,a4,a6] |
j |
557238592989/9699328 |
j-invariant |
L |
2.4982404384384 |
L(r)(E,1)/r! |
Ω |
0.31228005485237 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
59200dk1 1850f1 59200bs1 |
Quadratic twists by: -4 8 5 |