Atkin-Lehner |
2+ 5- 37- |
Signs for the Atkin-Lehner involutions |
Class |
59200br |
Isogeny class |
Conductor |
59200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-9699328000 = -1 · 221 · 53 · 37 |
Discriminant |
Eigenvalues |
2+ 0 5- 1 3 4 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-620,7600] |
[a1,a2,a3,a4,a6] |
Generators |
[6:-64:1] |
Generators of the group modulo torsion |
j |
-804357/296 |
j-invariant |
L |
6.3118489177936 |
L(r)(E,1)/r! |
Ω |
1.2160918653186 |
Real period |
R |
0.64878413978925 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997311 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59200ds1 1850n1 59200bl1 |
Quadratic twists by: -4 8 5 |