Atkin-Lehner |
2+ 3+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
5070a |
Isogeny class |
Conductor |
5070 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
53520092604810 = 2 · 38 · 5 · 138 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 -4 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1523538,-724450878] |
[a1,a2,a3,a4,a6] |
Generators |
[47793:1221887:27] |
Generators of the group modulo torsion |
j |
81025909800741361/11088090 |
j-invariant |
L |
2.0246361312266 |
L(r)(E,1)/r! |
Ω |
0.1358895931626 |
Real period |
R |
7.4495628550595 |
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 |
40560bz6 15210bn5 25350cs6 390b5 |
Quadratic twists by: -4 -3 5 13 |