Atkin-Lehner |
3- 5- 7- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
58905bq |
Isogeny class |
Conductor |
58905 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
24548364225 = 37 · 52 · 74 · 11 · 17 |
Discriminant |
Eigenvalues |
-1 3- 5- 7- 11+ -6 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2777,56504] |
[a1,a2,a3,a4,a6] |
Generators |
[-51:277:1] |
Generators of the group modulo torsion |
j |
3247709677129/33674025 |
j-invariant |
L |
3.8644668324471 |
L(r)(E,1)/r! |
Ω |
1.2012523616075 |
Real period |
R |
1.608515810658 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999356 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
19635r1 |
Quadratic twists by: -3 |