Atkin-Lehner |
2- 5+ 31+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
63550m |
Isogeny class |
Conductor |
63550 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-7943750000 = -1 · 24 · 58 · 31 · 41 |
Discriminant |
Eigenvalues |
2- 0 5+ -2 -4 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,495,497] |
[a1,a2,a3,a4,a6] |
Generators |
[9:70:1] [63:496:1] |
Generators of the group modulo torsion |
j |
860085351/508400 |
j-invariant |
L |
13.551142642492 |
L(r)(E,1)/r! |
Ω |
0.79993298997176 |
Real period |
R |
4.2350868173801 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000018 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12710a1 |
Quadratic twists by: 5 |