Atkin-Lehner |
2- 3+ 5+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
42630ce |
Isogeny class |
Conductor |
42630 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
7513469558437500000 = 25 · 35 · 510 · 76 · 292 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 2 -4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2124641,-1185567937] |
[a1,a2,a3,a4,a6] |
Generators |
[-823:2944:1] |
Generators of the group modulo torsion |
j |
9015548596898711041/63863437500000 |
j-invariant |
L |
7.1284207189163 |
L(r)(E,1)/r! |
Ω |
0.12510180680609 |
Real period |
R |
5.6980957357082 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127890cy2 870i2 |
Quadratic twists by: -3 -7 |