Atkin-Lehner |
5- 7- 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
56525bb |
Isogeny class |
Conductor |
56525 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
460800 |
Modular degree for the optimal curve |
Δ |
212619670703125 = 58 · 73 · 174 · 19 |
Discriminant |
Eigenvalues |
-1 1 5- 7- 3 1 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1159263,480322892] |
[a1,a2,a3,a4,a6] |
Generators |
[616:-70:1] |
Generators of the group modulo torsion |
j |
441072138426424465/544306357 |
j-invariant |
L |
4.6695339210661 |
L(r)(E,1)/r! |
Ω |
0.47500981081834 |
Real period |
R |
0.81919955735211 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998772 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56525g1 |
Quadratic twists by: 5 |