Atkin-Lehner |
5- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
79475ba |
Isogeny class |
Conductor |
79475 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
37324800 |
Modular degree for the optimal curve |
Δ |
-9.9298298851809E+24 |
Discriminant |
Eigenvalues |
1 -3 5- 3 11- -1 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-202767367,1121680051666] |
[a1,a2,a3,a4,a6] |
Generators |
[-12006:1357078:1] |
Generators of the group modulo torsion |
j |
-97783220255527305/1053145182353 |
j-invariant |
L |
5.491212681392 |
L(r)(E,1)/r! |
Ω |
0.072840208627719 |
Real period |
R |
0.78528237635326 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999952083 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79475o1 4675q1 |
Quadratic twists by: 5 17 |