Atkin-Lehner |
2+ 7- 101- |
Signs for the Atkin-Lehner involutions |
Class |
45248r |
Isogeny class |
Conductor |
45248 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
20352 |
Modular degree for the optimal curve |
Δ |
-723968 = -1 · 210 · 7 · 101 |
Discriminant |
Eigenvalues |
2+ 3 0 7- -2 4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-640,-6232] |
[a1,a2,a3,a4,a6] |
Generators |
[7718274:152512840:19683] |
Generators of the group modulo torsion |
j |
-28311552000/707 |
j-invariant |
L |
11.301729106399 |
L(r)(E,1)/r! |
Ω |
0.47459582651399 |
Real period |
R |
11.906688254535 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999897 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45248z1 2828b1 |
Quadratic twists by: -4 8 |