Atkin-Lehner |
2- 3+ 5- 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
60270bd |
Isogeny class |
Conductor |
60270 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
Δ |
18244095140250000 = 24 · 32 · 56 · 76 · 413 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -6 4 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-625045,189830507] |
[a1,a2,a3,a4,a6] |
Generators |
[437:396:1] |
Generators of the group modulo torsion |
j |
229545811016693569/155072250000 |
j-invariant |
L |
8.2489603808912 |
L(r)(E,1)/r! |
Ω |
0.38394459117446 |
Real period |
R |
0.29839955246047 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000259 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1230h3 |
Quadratic twists by: -7 |