Atkin-Lehner |
2- 5- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
75200dp |
Isogeny class |
Conductor |
75200 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
606720 |
Modular degree for the optimal curve |
Δ |
12977875000000 = 26 · 59 · 473 |
Discriminant |
Eigenvalues |
2- -3 5- -3 3 -5 4 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-95875,11425000] |
[a1,a2,a3,a4,a6] |
Generators |
[200:500:1] |
Generators of the group modulo torsion |
j |
779704121664/103823 |
j-invariant |
L |
2.7315337147495 |
L(r)(E,1)/r! |
Ω |
0.6836324606368 |
Real period |
R |
1.9978086720352 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999928963 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75200ee1 37600p1 75200ed1 |
Quadratic twists by: -4 8 5 |