Atkin-Lehner |
2- 3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
99372bw |
Isogeny class |
Conductor |
99372 |
Conductor |
∏ cp |
216 |
Product of Tamagawa factors cp |
Δ |
3.6240483966932E+28 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 2 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-11387139612,-467617024416060] |
[a1,a2,a3,a4,a6] |
Generators |
[-300715992:1203091590:4913] |
Generators of the group modulo torsion |
j |
511268777852836624/113468578083 |
j-invariant |
L |
10.613267550154 |
L(r)(E,1)/r! |
Ω |
0.014615096164163 |
Real period |
R |
13.447875360137 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000394 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14196g2 99372by2 |
Quadratic twists by: -7 13 |