Atkin-Lehner |
2+ 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
77616bp |
Isogeny class |
Conductor |
77616 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
3.3019780401923E+22 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 11+ 0 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10051419,-8602937350] |
[a1,a2,a3,a4,a6] |
Generators |
[167195280230480894:8215476526492531135:34461384564088] |
Generators of the group modulo torsion |
j |
1278763167594532/375974556419 |
j-invariant |
L |
7.893086490903 |
L(r)(E,1)/r! |
Ω |
0.086704424646179 |
Real period |
R |
22.758603502997 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001256 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38808ck2 8624i2 11088m2 |
Quadratic twists by: -4 -3 -7 |