Atkin-Lehner |
2- 3- 5+ 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
77700w |
Isogeny class |
Conductor |
77700 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
deg |
2350080 |
Modular degree for the optimal curve |
Δ |
5315460287681250000 = 24 · 33 · 58 · 75 · 374 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 2 0 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3724533,2763194688] |
[a1,a2,a3,a4,a6] |
Generators |
[10554:-97125:8] |
Generators of the group modulo torsion |
j |
22855951179059298304/21261841150725 |
j-invariant |
L |
8.2463421338588 |
L(r)(E,1)/r! |
Ω |
0.24020830854558 |
Real period |
R |
0.57216603539162 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996842 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15540a1 |
Quadratic twists by: 5 |