Atkin-Lehner |
2+ 3- 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
63426o |
Isogeny class |
Conductor |
63426 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1105920 |
Modular degree for the optimal curve |
Δ |
13622375650007652 = 22 · 3 · 113 · 318 |
Discriminant |
Eigenvalues |
2+ 3- -4 -4 11+ -6 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-60083,-778918] |
[a1,a2,a3,a4,a6] |
Generators |
[266:1308:1] |
Generators of the group modulo torsion |
j |
27027009001/15349092 |
j-invariant |
L |
1.6416424574255 |
L(r)(E,1)/r! |
Ω |
0.32931895987547 |
Real period |
R |
2.4924809338266 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000092 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2046d1 |
Quadratic twists by: -31 |