Atkin-Lehner |
2+ 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
47040bq |
Isogeny class |
Conductor |
47040 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
97149085286400 = 219 · 32 · 52 · 77 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -4 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-52684865,147207093825] |
[a1,a2,a3,a4,a6] |
Generators |
[1041:305760:1] |
Generators of the group modulo torsion |
j |
524388516989299201/3150 |
j-invariant |
L |
4.1838653021908 |
L(r)(E,1)/r! |
Ω |
0.29204818124229 |
Real period |
R |
3.5814854970091 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
47040hc6 1470p5 6720u5 |
Quadratic twists by: -4 8 -7 |