Atkin-Lehner |
3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
88935cg |
Isogeny class |
Conductor |
88935 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
278040665598228225 = 32 · 52 · 78 · 118 |
Discriminant |
Eigenvalues |
1 3- 5- 7- 11- -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-332148,69146053] |
[a1,a2,a3,a4,a6] |
Generators |
[-1997993:58502940:4913] |
Generators of the group modulo torsion |
j |
19443408769/1334025 |
j-invariant |
L |
11.027017211878 |
L(r)(E,1)/r! |
Ω |
0.30305128743395 |
Real period |
R |
9.0966592647342 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005238 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
12705c2 8085w2 |
Quadratic twists by: -7 -11 |