Atkin-Lehner |
2+ 3+ 7+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
21462b |
Isogeny class |
Conductor |
21462 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
131040 |
Modular degree for the optimal curve |
Δ |
-14930223521094 = -1 · 2 · 35 · 78 · 732 |
Discriminant |
Eigenvalues |
2+ 3+ 3 7+ -5 4 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-68821,-6980357] |
[a1,a2,a3,a4,a6] |
j |
-6253342106137/2589894 |
j-invariant |
L |
0.88425791068625 |
L(r)(E,1)/r! |
Ω |
0.14737631844771 |
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 |
64386bm1 21462q1 |
Quadratic twists by: -3 -7 |