Atkin-Lehner |
2- 3+ 5+ 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
47850bx |
Isogeny class |
Conductor |
47850 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
201600 |
Modular degree for the optimal curve |
Δ |
-52660584820800 = -1 · 26 · 35 · 52 · 115 · 292 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 11- 6 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-16138,856151] |
[a1,a2,a3,a4,a6] |
Generators |
[109:-693:1] |
Generators of the group modulo torsion |
j |
-18592359951015625/2106423392832 |
j-invariant |
L |
8.9414424731561 |
L(r)(E,1)/r! |
Ω |
0.61389786102161 |
Real period |
R |
0.242750546437 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999844 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47850bp1 |
Quadratic twists by: 5 |