Atkin-Lehner |
2+ 3- 7- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
64974x |
Isogeny class |
Conductor |
64974 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1327104 |
Modular degree for the optimal curve |
Δ |
1856920134228676608 = 212 · 3 · 77 · 133 · 174 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 4 13- 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-349200,44803294] |
[a1,a2,a3,a4,a6] |
j |
40027308583943017/15783560712192 |
j-invariant |
L |
2.878147194131 |
L(r)(E,1)/r! |
Ω |
0.23984559957704 |
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 |
9282d1 |
Quadratic twists by: -7 |