Atkin-Lehner |
2+ 5- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
59200bl |
Isogeny class |
Conductor |
59200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-151552000000000 = -1 · 221 · 59 · 37 |
Discriminant |
Eigenvalues |
2+ 0 5- -1 3 -4 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-15500,950000] |
[a1,a2,a3,a4,a6] |
j |
-804357/296 |
j-invariant |
L |
2.1754112634446 |
L(r)(E,1)/r! |
Ω |
0.54385281554736 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59200di1 1850e1 59200br1 |
Quadratic twists by: -4 8 5 |