Atkin-Lehner |
2- 3+ 7+ 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
100464z |
Isogeny class |
Conductor |
100464 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-46139498496 = -1 · 213 · 32 · 7 · 132 · 232 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ 6 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,896,-896] |
[a1,a2,a3,a4,a6] |
Generators |
[24:-184:1] |
Generators of the group modulo torsion |
j |
19400056703/11264526 |
j-invariant |
L |
3.6617395244785 |
L(r)(E,1)/r! |
Ω |
0.67250111759212 |
Real period |
R |
0.68061959858105 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999969185 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12558q2 |
Quadratic twists by: -4 |