Atkin-Lehner |
2+ 3+ 7+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
74256a |
Isogeny class |
Conductor |
74256 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-5628827568 = -1 · 24 · 3 · 74 · 132 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7+ -2 13+ 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,77,-3626] |
[a1,a2,a3,a4,a6] |
Generators |
[210:3038:1] |
Generators of the group modulo torsion |
j |
3114752000/351801723 |
j-invariant |
L |
4.4136083646911 |
L(r)(E,1)/r! |
Ω |
0.64084450569752 |
Real period |
R |
3.4435875828083 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000067 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37128j1 |
Quadratic twists by: -4 |