Atkin-Lehner |
2- 5+ 17+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
51850o |
Isogeny class |
Conductor |
51850 |
Conductor |
∏ cp |
126 |
Product of Tamagawa factors cp |
Δ |
-3439198679859200 = -1 · 221 · 52 · 172 · 613 |
Discriminant |
Eigenvalues |
2- -1 5+ 1 0 4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,6502,-2811609] |
[a1,a2,a3,a4,a6] |
Generators |
[2601:131435:1] |
Generators of the group modulo torsion |
j |
1215963179530295/137567947194368 |
j-invariant |
L |
8.154387596637 |
L(r)(E,1)/r! |
Ω |
0.21114212344415 |
Real period |
R |
0.30651089807502 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999593 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
51850l2 |
Quadratic twists by: 5 |