Atkin-Lehner |
2- 5+ 29- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
68150q |
Isogeny class |
Conductor |
68150 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
-18817918750000 = -1 · 24 · 58 · 29 · 473 |
Discriminant |
Eigenvalues |
2- 0 5+ 3 -5 -4 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,2495,202497] |
[a1,a2,a3,a4,a6] |
Generators |
[9:470:1] |
Generators of the group modulo torsion |
j |
109971085671/1204346800 |
j-invariant |
L |
9.8504212308207 |
L(r)(E,1)/r! |
Ω |
0.50650174725615 |
Real period |
R |
2.4309938917893 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000749 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13630c1 |
Quadratic twists by: 5 |