Atkin-Lehner |
3+ 5+ 17- 37- |
Signs for the Atkin-Lehner involutions |
Class |
47175d |
Isogeny class |
Conductor |
47175 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
16363828125 = 32 · 57 · 17 · 372 |
Discriminant |
Eigenvalues |
1 3+ 5+ 0 -2 0 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-11275,-465500] |
[a1,a2,a3,a4,a6] |
Generators |
[990:1355:8] |
Generators of the group modulo torsion |
j |
10146436022449/1047285 |
j-invariant |
L |
5.1740969742774 |
L(r)(E,1)/r! |
Ω |
0.46330617814273 |
Real period |
R |
2.7919425740383 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999822 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9435f2 |
Quadratic twists by: 5 |