Atkin-Lehner |
2+ 3+ 5- 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
62160l |
Isogeny class |
Conductor |
62160 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
312973113600 = 28 · 36 · 52 · 72 · 372 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 0 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-11660,-480000] |
[a1,a2,a3,a4,a6] |
Generators |
[18010:853335:8] |
Generators of the group modulo torsion |
j |
684883406370256/1222551225 |
j-invariant |
L |
5.2446254439837 |
L(r)(E,1)/r! |
Ω |
0.45948187025584 |
Real period |
R |
5.7071081398256 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000581 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
31080q2 |
Quadratic twists by: -4 |