Atkin-Lehner |
2- 3+ 5- 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
38640bu |
Isogeny class |
Conductor |
38640 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
73713991680 = 214 · 35 · 5 · 7 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ -2 -2 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3080,65520] |
[a1,a2,a3,a4,a6] |
Generators |
[52:208:1] |
Generators of the group modulo torsion |
j |
789145184521/17996580 |
j-invariant |
L |
4.6312441929141 |
L(r)(E,1)/r! |
Ω |
1.0899104289721 |
Real period |
R |
2.1245985311291 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4830p1 115920da1 |
Quadratic twists by: -4 -3 |