Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
7392n |
Isogeny class |
Conductor |
7392 |
Conductor |
∏ cp |
720 |
Product of Tamagawa factors cp |
Δ |
5155569947781969408 = 29 · 312 · 76 · 115 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 11- -2 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1634528,796336632] |
[a1,a2,a3,a4,a6] |
Generators |
[-1022:37422:1] |
Generators of the group modulo torsion |
j |
943259332190261813000/10069472554261659 |
j-invariant |
L |
5.166048614346 |
L(r)(E,1)/r! |
Ω |
0.24325521102726 |
Real period |
R |
0.1179841942892 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7392a2 14784n2 22176e2 51744ca2 |
Quadratic twists by: -4 8 -3 -7 |