Atkin-Lehner |
2+ 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
4200k |
Isogeny class |
Conductor |
4200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
7087500000000000 = 211 · 34 · 514 · 7 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 4 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-610008,-183538512] |
[a1,a2,a3,a4,a6] |
j |
784478485879202/221484375 |
j-invariant |
L |
2.7333355735464 |
L(r)(E,1)/r! |
Ω |
0.17083347334665 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8400j5 33600m6 12600bw5 840g5 |
Quadratic twists by: -4 8 -3 5 |