Atkin-Lehner |
2- 3+ 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
30960w |
Isogeny class |
Conductor |
30960 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
15975360000000 = 212 · 33 · 57 · 432 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 4 2 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-20000043,34426629658] |
[a1,a2,a3,a4,a6] |
Generators |
[13031:1409454:1] |
Generators of the group modulo torsion |
j |
8000051600110940079507/144453125 |
j-invariant |
L |
4.4643128967926 |
L(r)(E,1)/r! |
Ω |
0.35955948539137 |
Real period |
R |
6.2080310465642 |
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 |
1935a2 123840ed2 30960bc2 |
Quadratic twists by: -4 8 -3 |