Atkin-Lehner |
3+ 5- 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
52635g |
Isogeny class |
Conductor |
52635 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-21854557789453125 = -1 · 32 · 58 · 118 · 29 |
Discriminant |
Eigenvalues |
1 3+ 5- -2 11- -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-33277,-7500434] |
[a1,a2,a3,a4,a6] |
Generators |
[282:2234:1] [2270:18467:8] |
Generators of the group modulo torsion |
j |
-2300490759601/12336328125 |
j-invariant |
L |
9.9693648389029 |
L(r)(E,1)/r! |
Ω |
0.15900498419031 |
Real period |
R |
3.9186526485583 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4785b2 |
Quadratic twists by: -11 |