Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
16800u |
Isogeny class |
Conductor |
16800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
4032000000 = 212 · 32 · 56 · 7 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8433,295263] |
[a1,a2,a3,a4,a6] |
Generators |
[69:216:1] |
Generators of the group modulo torsion |
j |
1036433728/63 |
j-invariant |
L |
6.2691252314152 |
L(r)(E,1)/r! |
Ω |
1.3174816684682 |
Real period |
R |
2.3792077648807 |
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 |
16800a2 33600ew1 50400dm4 672c3 |
Quadratic twists by: -4 8 -3 5 |