Atkin-Lehner |
2- 3+ 5- 11+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
117150bq |
Isogeny class |
Conductor |
117150 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
14033398500 = 22 · 33 · 53 · 114 · 71 |
Discriminant |
Eigenvalues |
2- 3+ 5- 4 11+ -2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-603,-219] |
[a1,a2,a3,a4,a6] |
Generators |
[1245:6644:27] |
Generators of the group modulo torsion |
j |
194003984069/112267188 |
j-invariant |
L |
10.781816964211 |
L(r)(E,1)/r! |
Ω |
1.0590489022878 |
Real period |
R |
5.0903300605785 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000035555 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117150bd1 |
Quadratic twists by: 5 |