Atkin-Lehner |
3- 5+ 23- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
30015f |
Isogeny class |
Conductor |
30015 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
33278167018125 = 38 · 54 · 234 · 29 |
Discriminant |
Eigenvalues |
-1 3- 5+ 0 -4 -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-15008,654702] |
[a1,a2,a3,a4,a6] |
Generators |
[-57:1178:1] |
Generators of the group modulo torsion |
j |
512787603508921/45649063125 |
j-invariant |
L |
2.8531535060711 |
L(r)(E,1)/r! |
Ω |
0.6390592060278 |
Real period |
R |
1.1161538239177 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10005d3 |
Quadratic twists by: -3 |