Atkin-Lehner |
2+ 3+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
7392a |
Isogeny class |
Conductor |
7392 |
Conductor |
∏ cp |
4 |
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 |
[60405394063033571:769002715481273028:38982357393643] |
Generators of the group modulo torsion |
j |
943259332190261813000/10069472554261659 |
j-invariant |
L |
3.3804632680853 |
L(r)(E,1)/r! |
Ω |
0.13360770711488 |
Real period |
R |
25.301409185765 |
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 |
7392n2 14784y2 22176n2 51744bi2 |
Quadratic twists by: -4 8 -3 -7 |