Atkin-Lehner |
2+ 5- 37- |
Signs for the Atkin-Lehner involutions |
Class |
59200bw |
Isogeny class |
Conductor |
59200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4239360 |
Modular degree for the optimal curve |
Δ |
-1.1759620456448E+21 |
Discriminant |
Eigenvalues |
2+ -3 5- 0 1 -2 7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4967500,4569670000] |
[a1,a2,a3,a4,a6] |
Generators |
[2056:55204:1] |
Generators of the group modulo torsion |
j |
-132384574175625/11484004352 |
j-invariant |
L |
3.1188673419913 |
L(r)(E,1)/r! |
Ω |
0.1507656812135 |
Real period |
R |
5.1717130134197 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998574 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59200dz1 1850d1 59200q1 |
Quadratic twists by: -4 8 5 |