Atkin-Lehner |
3- 5+ 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
4935h |
Isogeny class |
Conductor |
4935 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
864 |
Modular degree for the optimal curve |
Δ |
-222075 = -1 · 33 · 52 · 7 · 47 |
Discriminant |
Eigenvalues |
-2 3- 5+ 7+ -5 -2 7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,14,16] |
[a1,a2,a3,a4,a6] |
Generators |
[2:7:1] |
Generators of the group modulo torsion |
j |
282300416/222075 |
j-invariant |
L |
1.9821088890223 |
L(r)(E,1)/r! |
Ω |
2.0239983864289 |
Real period |
R |
0.16321726525018 |
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 |
78960bu1 14805l1 24675g1 34545o1 |
Quadratic twists by: -4 -3 5 -7 |