Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
17640bo |
Isogeny class |
Conductor |
17640 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
4.9642502911313E+24 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -2 -2 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-241369443,1439363345742] |
[a1,a2,a3,a4,a6] |
Generators |
[-358241:2671606664:2197] |
Generators of the group modulo torsion |
j |
1912039973861076/6103515625 |
j-invariant |
L |
4.2017629688567 |
L(r)(E,1)/r! |
Ω |
0.077144795230383 |
Real period |
R |
13.616482344365 |
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 |
35280c2 17640h2 88200k2 17640bt2 |
Quadratic twists by: -4 -3 5 -7 |