Atkin-Lehner |
3+ 5- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
4785b |
Isogeny class |
Conductor |
4785 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-12336328125 = -1 · 32 · 58 · 112 · 29 |
Discriminant |
Eigenvalues |
-1 3+ 5- 2 11- 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-275,5510] |
[a1,a2,a3,a4,a6] |
Generators |
[8:58:1] |
Generators of the group modulo torsion |
j |
-2300490759601/12336328125 |
j-invariant |
L |
2.4121299035717 |
L(r)(E,1)/r! |
Ω |
1.0964941400033 |
Real period |
R |
0.27498207874193 |
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 |
76560cc2 14355b2 23925v2 52635g2 |
Quadratic twists by: -4 -3 5 -11 |