Atkin-Lehner |
2+ 5+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
75200n |
Isogeny class |
Conductor |
75200 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
67584 |
Modular degree for the optimal curve |
Δ |
235000000 = 26 · 57 · 47 |
Discriminant |
Eigenvalues |
2+ 3 5+ -5 1 3 6 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-175,500] |
[a1,a2,a3,a4,a6] |
Generators |
[-60:800:27] |
Generators of the group modulo torsion |
j |
592704/235 |
j-invariant |
L |
10.594633976418 |
L(r)(E,1)/r! |
Ω |
1.6015245634848 |
Real period |
R |
3.307671395209 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001596 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75200bd1 37600k1 15040u1 |
Quadratic twists by: -4 8 5 |