Atkin-Lehner |
2+ 3+ 5- 17+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
79050k |
Isogeny class |
Conductor |
79050 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
7620480 |
Modular degree for the optimal curve |
Δ |
-2003020632963432000 = -1 · 26 · 39 · 53 · 177 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 -1 -7 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-44657005,114845036125] |
[a1,a2,a3,a4,a6] |
j |
-78792066919967679726283277/16024165063707456 |
j-invariant |
L |
0.82970410263452 |
L(r)(E,1)/r! |
Ω |
0.20742602886883 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79050ck1 |
Quadratic twists by: 5 |