Atkin-Lehner |
2+ 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
47600a |
Isogeny class |
Conductor |
47600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
176640 |
Modular degree for the optimal curve |
Δ |
-5714380000000 = -1 · 28 · 57 · 75 · 17 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7+ 2 -7 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-44633,-3616363] |
[a1,a2,a3,a4,a6] |
Generators |
[69936806:693584175:238328] |
Generators of the group modulo torsion |
j |
-2458338528256/1428595 |
j-invariant |
L |
8.0608231180552 |
L(r)(E,1)/r! |
Ω |
0.1642251213003 |
Real period |
R |
12.270995835237 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999826 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23800c1 9520e1 |
Quadratic twists by: -4 5 |