Atkin-Lehner |
2- 3+ 5+ 23+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
32430t |
Isogeny class |
Conductor |
32430 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
1525703822373945600 = 28 · 36 · 52 · 236 · 472 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 4 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3050241,2048318463] |
[a1,a2,a3,a4,a6] |
Generators |
[721:14624:1] |
Generators of the group modulo torsion |
j |
3138529276527569846533009/1525703822373945600 |
j-invariant |
L |
7.4798177133 |
L(r)(E,1)/r! |
Ω |
0.264306044212 |
Real period |
R |
3.5374795039214 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
97290p2 |
Quadratic twists by: -3 |