Atkin-Lehner |
2+ 5+ 13- 73- |
Signs for the Atkin-Lehner involutions |
Class |
47450j |
Isogeny class |
Conductor |
47450 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
2665600 |
Modular degree for the optimal curve |
Δ |
-4052214573056000000 = -1 · 217 · 56 · 135 · 732 |
Discriminant |
Eigenvalues |
2+ -3 5+ 1 0 13- -7 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2208817,-1266690659] |
[a1,a2,a3,a4,a6] |
Generators |
[3445:177164:1] |
Generators of the group modulo torsion |
j |
-76275138549883285089/259341732675584 |
j-invariant |
L |
1.946345386128 |
L(r)(E,1)/r! |
Ω |
0.061907206536922 |
Real period |
R |
3.1439722368476 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999965 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1898a1 |
Quadratic twists by: 5 |