Atkin-Lehner |
2- 3+ 5- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
48720bu |
Isogeny class |
Conductor |
48720 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-4656805097656320 = -1 · 212 · 38 · 5 · 72 · 294 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 0 -2 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1800,-3282768] |
[a1,a2,a3,a4,a6] |
Generators |
[477:10206:1] |
Generators of the group modulo torsion |
j |
-157551496201/1136915307045 |
j-invariant |
L |
5.0347761776046 |
L(r)(E,1)/r! |
Ω |
0.19754728612365 |
Real period |
R |
3.1858044448419 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000023 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3045i4 |
Quadratic twists by: -4 |