Atkin-Lehner |
2+ 3- 5- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
35520bd |
Isogeny class |
Conductor |
35520 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1964113920 = 217 · 34 · 5 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 0 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-31585,-2171137] |
[a1,a2,a3,a4,a6] |
Generators |
[-672795706:2262519:6539203] |
Generators of the group modulo torsion |
j |
26587051663538/14985 |
j-invariant |
L |
7.9897793086234 |
L(r)(E,1)/r! |
Ω |
0.3581196927594 |
Real period |
R |
11.155180055947 |
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 |
35520bx4 4440b3 106560ba4 |
Quadratic twists by: -4 8 -3 |