Atkin-Lehner |
5- 7- 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
92365p |
Isogeny class |
Conductor |
92365 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
20483635033225 = 52 · 78 · 132 · 292 |
Discriminant |
Eigenvalues |
1 0 5- 7- 0 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-43129,-3429840] |
[a1,a2,a3,a4,a6] |
Generators |
[-3056531224:-434952463:25934336] |
Generators of the group modulo torsion |
j |
75413535564249/174108025 |
j-invariant |
L |
6.4203081226265 |
L(r)(E,1)/r! |
Ω |
0.33133474746251 |
Real period |
R |
9.6885523788127 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000017451 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
13195e2 |
Quadratic twists by: -7 |