Atkin-Lehner |
2- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
47600y |
Isogeny class |
Conductor |
47600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
304128 |
Modular degree for the optimal curve |
Δ |
-3851792000000000 = -1 · 213 · 59 · 72 · 173 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- -6 7 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-17008,3099988] |
[a1,a2,a3,a4,a6] |
Generators |
[-132:1750:1] |
Generators of the group modulo torsion |
j |
-8502154921/60184250 |
j-invariant |
L |
6.8213669443565 |
L(r)(E,1)/r! |
Ω |
0.37942428454309 |
Real period |
R |
1.123637709523 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000021 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5950l1 9520l1 |
Quadratic twists by: -4 5 |