Atkin-Lehner |
2- 5+ 7- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
38710bc |
Isogeny class |
Conductor |
38710 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-59483334400 = -1 · 28 · 52 · 76 · 79 |
Discriminant |
Eigenvalues |
2- 2 5+ 7- -4 -2 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1226,-20777] |
[a1,a2,a3,a4,a6] |
Generators |
[113:1083:1] |
Generators of the group modulo torsion |
j |
-1732323601/505600 |
j-invariant |
L |
11.451301391312 |
L(r)(E,1)/r! |
Ω |
0.39741981087546 |
Real period |
R |
3.60176477051 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
790a1 |
Quadratic twists by: -7 |