Atkin-Lehner |
2- 3+ 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
32340b |
Isogeny class |
Conductor |
32340 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-2.1838479101801E+20 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 11+ 4 -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,948379,615436305] |
[a1,a2,a3,a4,a6] |
Generators |
[36706199696:-2714553875663:6967871] |
Generators of the group modulo torsion |
j |
3132137615458304/7250937873795 |
j-invariant |
L |
4.2558689148018 |
L(r)(E,1)/r! |
Ω |
0.12339532892386 |
Real period |
R |
17.244854209303 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129360gr2 97020cw2 4620n2 |
Quadratic twists by: -4 -3 -7 |