Atkin-Lehner |
3+ 5- 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
88305f |
Isogeny class |
Conductor |
88305 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2432210565976706025 = 34 · 52 · 74 · 298 |
Discriminant |
Eigenvalues |
-1 3+ 5- 7+ 0 -2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1124855,452549900] |
[a1,a2,a3,a4,a6] |
Generators |
[-231:26575:1] [308:11483:1] |
Generators of the group modulo torsion |
j |
264621653112601/4088963025 |
j-invariant |
L |
6.2911351179858 |
L(r)(E,1)/r! |
Ω |
0.25843355023473 |
Real period |
R |
12.171668717749 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999949 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
3045i2 |
Quadratic twists by: 29 |