Atkin-Lehner |
2+ 3+ 5+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
74160b |
Isogeny class |
Conductor |
74160 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
204288 |
Modular degree for the optimal curve |
Δ |
-162187920000000 = -1 · 210 · 39 · 57 · 103 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -3 2 -2 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,7317,-563382] |
[a1,a2,a3,a4,a6] |
Generators |
[187:2710:1] |
Generators of the group modulo torsion |
j |
2149471188/8046875 |
j-invariant |
L |
5.6268239404943 |
L(r)(E,1)/r! |
Ω |
0.29196323397451 |
Real period |
R |
4.8180929019169 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992198 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37080l1 74160f1 |
Quadratic twists by: -4 -3 |