Atkin-Lehner |
2+ 3- 5- 23- 47- |
Signs for the Atkin-Lehner involutions |
Class |
32430q |
Isogeny class |
Conductor |
32430 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
Δ |
511128581400 = 23 · 37 · 52 · 232 · 472 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 0 4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2332823,1371226178] |
[a1,a2,a3,a4,a6] |
Generators |
[882:-428:1] |
Generators of the group modulo torsion |
j |
1404005502974196930209641/511128581400 |
j-invariant |
L |
5.500466637911 |
L(r)(E,1)/r! |
Ω |
0.55685841176379 |
Real period |
R |
0.70554824320974 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97290z2 |
Quadratic twists by: -3 |