Atkin-Lehner |
3- 5+ 23- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
30015d |
Isogeny class |
Conductor |
30015 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
45608073890625 = 38 · 56 · 232 · 292 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 0 6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-750375,250375000] |
[a1,a2,a3,a4,a6] |
Generators |
[3416:192044:1] |
Generators of the group modulo torsion |
j |
64096096056024006001/62562515625 |
j-invariant |
L |
5.7818206186881 |
L(r)(E,1)/r! |
Ω |
0.53563074512606 |
Real period |
R |
5.3972075644456 |
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 |
10005e2 |
Quadratic twists by: -3 |