Atkin-Lehner |
3- 5+ 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
4935c |
Isogeny class |
Conductor |
4935 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
25920 |
Modular degree for the optimal curve |
Δ |
-241961236412175 = -1 · 36 · 52 · 710 · 47 |
Discriminant |
Eigenvalues |
1 3- 5+ 7+ -2 4 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-151239,-22663163] |
[a1,a2,a3,a4,a6] |
Generators |
[4781:327069:1] |
Generators of the group modulo torsion |
j |
-382570056949462495849/241961236412175 |
j-invariant |
L |
4.9371421791778 |
L(r)(E,1)/r! |
Ω |
0.1210423870764 |
Real period |
R |
6.7980899066673 |
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 |
78960bp1 14805j1 24675d1 34545i1 |
Quadratic twists by: -4 -3 5 -7 |