Atkin-Lehner |
3- 5- 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
71775cf |
Isogeny class |
Conductor |
71775 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
124416 |
Modular degree for the optimal curve |
Δ |
-113804645625 = -1 · 39 · 54 · 11 · 292 |
Discriminant |
Eigenvalues |
-1 3- 5- -1 11- 0 -7 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-17555,899772] |
[a1,a2,a3,a4,a6] |
Generators |
[68:96:1] |
Generators of the group modulo torsion |
j |
-1313092965625/249777 |
j-invariant |
L |
3.1668347992209 |
L(r)(E,1)/r! |
Ω |
1.0215353614576 |
Real period |
R |
0.77501839863554 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999977114 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23925j1 71775bp1 |
Quadratic twists by: -3 5 |