Atkin-Lehner |
2+ 3- 5- 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
47970p |
Isogeny class |
Conductor |
47970 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
28672 |
Modular degree for the optimal curve |
Δ |
505124100 = 22 · 36 · 52 · 132 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 -2 13+ 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1329,18953] |
[a1,a2,a3,a4,a6] |
Generators |
[4:115:1] |
Generators of the group modulo torsion |
j |
356250045969/692900 |
j-invariant |
L |
4.0263662696591 |
L(r)(E,1)/r! |
Ω |
1.6548562743792 |
Real period |
R |
0.60826525118767 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5330b1 |
Quadratic twists by: -3 |