Atkin-Lehner |
2+ 3- 7+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
53802m |
Isogeny class |
Conductor |
53802 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
Δ |
-1907793431248698 = -1 · 2 · 36 · 78 · 613 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ 0 -4 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,27333,1172583] |
[a1,a2,a3,a4,a6] |
Generators |
[10394786:193570735:54872] |
Generators of the group modulo torsion |
j |
537359375/453962 |
j-invariant |
L |
3.949071284072 |
L(r)(E,1)/r! |
Ω |
0.30331221299808 |
Real period |
R |
13.019822858405 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000117 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
5978h2 53802o2 |
Quadratic twists by: -3 -7 |