Atkin-Lehner |
2+ 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
103488cs |
Isogeny class |
Conductor |
103488 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
3.8819049522342E+25 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 11+ -2 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-320367553,-2186749555873] |
[a1,a2,a3,a4,a6] |
Generators |
[-9997:130248:1] |
Generators of the group modulo torsion |
j |
943259332190261813000/10069472554261659 |
j-invariant |
L |
7.0236803077333 |
L(r)(E,1)/r! |
Ω |
0.035708161732593 |
Real period |
R |
4.0978495092284 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003172 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
103488bn2 51744ca2 14784n2 |
Quadratic twists by: -4 8 -7 |