Atkin-Lehner |
2- 3+ 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
5100i |
Isogeny class |
Conductor |
5100 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4800 |
Modular degree for the optimal curve |
Δ |
-129093750000 = -1 · 24 · 35 · 59 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5- -1 -5 4 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-958,21037] |
[a1,a2,a3,a4,a6] |
Generators |
[-33:125:1] |
Generators of the group modulo torsion |
j |
-3114752/4131 |
j-invariant |
L |
3.0621264620441 |
L(r)(E,1)/r! |
Ω |
0.93965113757481 |
Real period |
R |
1.6293953892012 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20400dq1 81600el1 15300bh1 5100r1 |
Quadratic twists by: -4 8 -3 5 |