Atkin-Lehner |
2- 11+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
55616x |
Isogeny class |
Conductor |
55616 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
48000 |
Modular degree for the optimal curve |
Δ |
-531633344 = -1 · 26 · 113 · 792 |
Discriminant |
Eigenvalues |
2- -1 3 4 11+ -4 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5219,-143399] |
[a1,a2,a3,a4,a6] |
Generators |
[2522160:3575821:29791] |
Generators of the group modulo torsion |
j |
-245690769299968/8306771 |
j-invariant |
L |
6.5743124047719 |
L(r)(E,1)/r! |
Ω |
0.28084385097953 |
Real period |
R |
11.704568894141 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000305 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55616z1 27808i1 |
Quadratic twists by: -4 8 |