Atkin-Lehner |
2+ 3+ 5+ 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
70350j |
Isogeny class |
Conductor |
70350 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
4228986511230468750 = 2 · 32 · 516 · 73 · 672 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -4 2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-714150,209868750] |
[a1,a2,a3,a4,a6] |
Generators |
[275:5725:1] |
Generators of the group modulo torsion |
j |
2577940906463219809/270655136718750 |
j-invariant |
L |
4.1813583236925 |
L(r)(E,1)/r! |
Ω |
0.2388843468427 |
Real period |
R |
1.4586411021367 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000359 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14070k2 |
Quadratic twists by: 5 |