Atkin-Lehner |
2+ 3- 5- 7+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
49770v |
Isogeny class |
Conductor |
49770 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
1647360 |
Modular degree for the optimal curve |
Δ |
-2.0156031341631E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ -3 0 -6 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-319509,-686510987] |
[a1,a2,a3,a4,a6] |
Generators |
[3617:211424:1] |
Generators of the group modulo torsion |
j |
-4948188507826029649/276488770118400000 |
j-invariant |
L |
3.7452748981849 |
L(r)(E,1)/r! |
Ω |
0.07837813228657 |
Real period |
R |
2.3892345919168 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000018 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16590m1 |
Quadratic twists by: -3 |