Atkin-Lehner |
2+ 3+ 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
21462g |
Isogeny class |
Conductor |
21462 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
2782634148 = 22 · 34 · 76 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ 4 7- 2 0 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-368,-1140] |
[a1,a2,a3,a4,a6] |
j |
47045881/23652 |
j-invariant |
L |
2.29699769035 |
L(r)(E,1)/r! |
Ω |
1.148498845175 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64386ca1 438g1 |
Quadratic twists by: -3 -7 |