Atkin-Lehner |
3- 7- 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
47481u |
Isogeny class |
Conductor |
47481 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
209664 |
Modular degree for the optimal curve |
Δ |
191294027267301 = 314 · 73 · 17 · 193 |
Discriminant |
Eigenvalues |
-2 3- -1 7- 0 1 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-32776,-2195798] |
[a1,a2,a3,a4,a6] |
Generators |
[-115:256:1] |
Generators of the group modulo torsion |
j |
11353001499947008/557708534307 |
j-invariant |
L |
3.6536287157549 |
L(r)(E,1)/r! |
Ω |
0.3559027167491 |
Real period |
R |
0.12221199193594 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000033 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47481d1 |
Quadratic twists by: -7 |