Atkin-Lehner |
2- 3+ 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
48576cf |
Isogeny class |
Conductor |
48576 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1013760 |
Modular degree for the optimal curve |
Δ |
-2.2625661634189E+19 |
Discriminant |
Eigenvalues |
2- 3+ 2 2 11+ 2 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,702603,-31706235] |
[a1,a2,a3,a4,a6] |
Generators |
[3861572536150962:-203368124350024075:1545606356328] |
Generators of the group modulo torsion |
j |
37458737578627432448/22095372689637291 |
j-invariant |
L |
6.3124560682869 |
L(r)(E,1)/r! |
Ω |
0.12558002511373 |
Real period |
R |
25.133201170162 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000019 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48576bl1 12144bp1 |
Quadratic twists by: -4 8 |