Atkin-Lehner |
2- 3+ 5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
75810cp |
Isogeny class |
Conductor |
75810 |
Conductor |
∏ cp |
390 |
Product of Tamagawa factors cp |
deg |
336960 |
Modular degree for the optimal curve |
Δ |
-256759372800000 = -1 · 213 · 34 · 55 · 73 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 2 -6 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,12295,569927] |
[a1,a2,a3,a4,a6] |
Generators |
[327:6136:1] |
Generators of the group modulo torsion |
j |
569376976319639/711244800000 |
j-invariant |
L |
9.3432947058659 |
L(r)(E,1)/r! |
Ω |
0.37095874812929 |
Real period |
R |
0.064581752089918 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002172 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75810bs1 |
Quadratic twists by: -19 |