Atkin-Lehner |
2+ 5- 47- |
Signs for the Atkin-Lehner involutions |
Class |
75200cb |
Isogeny class |
Conductor |
75200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
430080 |
Modular degree for the optimal curve |
Δ |
96256000000000 = 220 · 59 · 47 |
Discriminant |
Eigenvalues |
2+ -3 5- 3 5 -1 6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-11500,-50000] |
[a1,a2,a3,a4,a6] |
Generators |
[-75:625:1] |
Generators of the group modulo torsion |
j |
328509/188 |
j-invariant |
L |
4.9883273419295 |
L(r)(E,1)/r! |
Ω |
0.49973278807509 |
Real period |
R |
2.4954973240302 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000889 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75200do1 2350o1 75200bn1 |
Quadratic twists by: -4 8 5 |