Atkin-Lehner |
3+ 5- 13+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
46215b |
Isogeny class |
Conductor |
46215 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
1334468956640625 = 39 · 58 · 133 · 79 |
Discriminant |
Eigenvalues |
1 3+ 5- 0 0 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-92004,-10573597] |
[a1,a2,a3,a4,a6] |
j |
4375777217294547/67798046875 |
j-invariant |
L |
1.0975274788412 |
L(r)(E,1)/r! |
Ω |
0.27438186977461 |
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 |
46215a1 |
Quadratic twists by: -3 |