Atkin-Lehner |
2- 3- 5- 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
49350ck |
Isogeny class |
Conductor |
49350 |
Conductor |
∏ cp |
90 |
Product of Tamagawa factors cp |
deg |
18532800 |
Modular degree for the optimal curve |
Δ |
-7.396801597062E+25 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 4 5 -5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-23051763,-415979053983] |
[a1,a2,a3,a4,a6] |
Generators |
[9726:524169:1] |
Generators of the group modulo torsion |
j |
-3467976262715939315665/189358120884787642368 |
j-invariant |
L |
11.953312834494 |
L(r)(E,1)/r! |
Ω |
0.026935606578505 |
Real period |
R |
4.9308184934745 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999767 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49350f1 |
Quadratic twists by: 5 |