Atkin-Lehner |
2+ 5+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
75200h |
Isogeny class |
Conductor |
75200 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
57600 |
Modular degree for the optimal curve |
Δ |
-470000000000 = -1 · 210 · 510 · 47 |
Discriminant |
Eigenvalues |
2+ -1 5+ 3 4 2 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-833,34537] |
[a1,a2,a3,a4,a6] |
Generators |
[1008:61459:343] |
Generators of the group modulo torsion |
j |
-6400/47 |
j-invariant |
L |
6.2790483737351 |
L(r)(E,1)/r! |
Ω |
0.8032901198584 |
Real period |
R |
7.8166632682233 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000177 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75200cu1 9400i1 75200bu1 |
Quadratic twists by: -4 8 5 |