Atkin-Lehner |
2- 3- 11- 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
97614bi |
Isogeny class |
Conductor |
97614 |
Conductor |
∏ cp |
224 |
Product of Tamagawa factors cp |
Δ |
-3.7932556700716E+21 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 11- 0 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,3863515,485881949] |
[a1,a2,a3,a4,a6] |
Generators |
[-53:16788:1] |
Generators of the group modulo torsion |
j |
8748711540472284848375/5203368546051595392 |
j-invariant |
L |
10.018736425671 |
L(r)(E,1)/r! |
Ω |
0.085300389099193 |
Real period |
R |
2.0973644951211 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000473 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32538i2 |
Quadratic twists by: -3 |