Atkin-Lehner |
3- 5- 7+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
4935i |
Isogeny class |
Conductor |
4935 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
1719150130215 = 33 · 5 · 78 · 472 |
Discriminant |
Eigenvalues |
-1 3- 5- 7+ -4 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1590530,-772210083] |
[a1,a2,a3,a4,a6] |
Generators |
[423988:33620497:64] |
Generators of the group modulo torsion |
j |
444989049991758116601121/1719150130215 |
j-invariant |
L |
2.8438067654147 |
L(r)(E,1)/r! |
Ω |
0.13443553724795 |
Real period |
R |
7.0512277324651 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
78960ci6 14805e5 24675k6 34545f6 |
Quadratic twists by: -4 -3 5 -7 |