Atkin-Lehner |
3- 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
98397y |
Isogeny class |
Conductor |
98397 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
659545451734689 = 38 · 132 · 296 |
Discriminant |
Eigenvalues |
1 3- -2 -4 4 13- 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-34218,2108295] |
[a1,a2,a3,a4,a6] |
Generators |
[622:14561:1] |
Generators of the group modulo torsion |
j |
10218313/1521 |
j-invariant |
L |
5.1010550413656 |
L(r)(E,1)/r! |
Ω |
0.4902960672309 |
Real period |
R |
5.202015075138 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999516445 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
32799i2 117a2 |
Quadratic twists by: -3 29 |