Atkin-Lehner |
3+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
5775j |
Isogeny class |
Conductor |
5775 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
8064 |
Modular degree for the optimal curve |
Δ |
-13156171875 = -1 · 37 · 57 · 7 · 11 |
Discriminant |
Eigenvalues |
2 3+ 5+ 7- 11- 2 -1 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-3158,69593] |
[a1,a2,a3,a4,a6] |
Generators |
[266:121:8] |
Generators of the group modulo torsion |
j |
-222985990144/841995 |
j-invariant |
L |
6.653355969407 |
L(r)(E,1)/r! |
Ω |
1.2656313855112 |
Real period |
R |
2.6284730473557 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92400fz1 17325bc1 1155i1 40425cq1 |
Quadratic twists by: -4 -3 5 -7 |