Atkin-Lehner |
2+ 3+ 5- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
127680bl |
Isogeny class |
Conductor |
127680 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
3809280 |
Modular degree for the optimal curve |
Δ |
80460185400000 = 26 · 32 · 55 · 73 · 194 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 4 -2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-12862620,17760171150] |
[a1,a2,a3,a4,a6] |
Generators |
[3515:126350:1] |
Generators of the group modulo torsion |
j |
3677325644072795235736384/1257190396875 |
j-invariant |
L |
7.6801130324327 |
L(r)(E,1)/r! |
Ω |
0.36419560446859 |
Real period |
R |
1.4058586148857 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000145503 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127680cx1 63840s4 |
Quadratic twists by: -4 8 |