Atkin-Lehner |
2+ 3- 5- 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
70950x |
Isogeny class |
Conductor |
70950 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1536000 |
Modular degree for the optimal curve |
Δ |
-1558496214000000000 = -1 · 210 · 34 · 59 · 112 · 433 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 11- 4 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,75049,-59533702] |
[a1,a2,a3,a4,a6] |
j |
23935181277259/797950061568 |
j-invariant |
L |
4.1253156974212 |
L(r)(E,1)/r! |
Ω |
0.12891611547226 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
70950bq1 |
Quadratic twists by: 5 |