Atkin-Lehner |
2- 3- 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
39900v |
Isogeny class |
Conductor |
39900 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
-4011865200 = -1 · 24 · 34 · 52 · 73 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 3 0 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-78,3033] |
[a1,a2,a3,a4,a6] |
Generators |
[54:399:1] |
Generators of the group modulo torsion |
j |
-132893440/10029663 |
j-invariant |
L |
7.8595442039576 |
L(r)(E,1)/r! |
Ω |
1.1468385084357 |
Real period |
R |
0.095183703165819 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
119700bm1 39900k1 |
Quadratic twists by: -3 5 |