Atkin-Lehner |
2- 3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
99372by |
Isogeny class |
Conductor |
99372 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
7.5081661542713E+21 |
Discriminant |
Eigenvalues |
2- 3- -2 7- -2 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-67379524,-212864166124] |
[a1,a2,a3,a4,a6] |
Generators |
[-38342:4941:8] |
Generators of the group modulo torsion |
j |
511268777852836624/113468578083 |
j-invariant |
L |
5.7528888019332 |
L(r)(E,1)/r! |
Ω |
0.052695478615725 |
Real period |
R |
6.0651300780932 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000034698 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14196c2 99372bw2 |
Quadratic twists by: -7 13 |