Atkin-Lehner |
2+ 3+ 5+ 7- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
64890c |
Isogeny class |
Conductor |
64890 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
875520 |
Modular degree for the optimal curve |
Δ |
1002550500000000 = 28 · 33 · 59 · 7 · 1032 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -4 -2 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-856140,305115856] |
[a1,a2,a3,a4,a6] |
j |
2570363812882289954907/37131500000000 |
j-invariant |
L |
0.90190189113246 |
L(r)(E,1)/r! |
Ω |
0.4509509433257 |
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 |
64890bw1 |
Quadratic twists by: -3 |