Atkin-Lehner |
3+ 5+ 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
6405b |
Isogeny class |
Conductor |
6405 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
12000 |
Modular degree for the optimal curve |
Δ |
7183291540005 = 35 · 5 · 7 · 615 |
Discriminant |
Eigenvalues |
0 3+ 5+ 7- -3 -5 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-11991,-484693] |
[a1,a2,a3,a4,a6] |
j |
190689218520776704/7183291540005 |
j-invariant |
L |
0.45728669429432 |
L(r)(E,1)/r! |
Ω |
0.45728669429432 |
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 |
102480bs1 19215u1 32025q1 44835bd1 |
Quadratic twists by: -4 -3 5 -7 |