Atkin-Lehner |
2- 3- 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
57498r |
Isogeny class |
Conductor |
57498 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-5.5417973175241E+20 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 0 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1562742,1359364692] |
[a1,a2,a3,a4,a6] |
Generators |
[-15877268:-409464926:12167] |
Generators of the group modulo torsion |
j |
-164503536215257/215993306928 |
j-invariant |
L |
13.460211576916 |
L(r)(E,1)/r! |
Ω |
0.14804040447141 |
Real period |
R |
11.365319171658 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999734 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1554c4 |
Quadratic twists by: 37 |