Atkin-Lehner |
2+ 7- 11+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
85162h |
Isogeny class |
Conductor |
85162 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2.2962167420688E+22 |
Discriminant |
Eigenvalues |
2+ 0 -4 7- 11+ -2 -8 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-8945449,7275123309] |
[a1,a2,a3,a4,a6] |
Generators |
[-3309:26865:1] |
Generators of the group modulo torsion |
j |
672886680144628401369/195175202685002848 |
j-invariant |
L |
1.627214471405 |
L(r)(E,1)/r! |
Ω |
0.11181195186419 |
Real period |
R |
3.6382838303072 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000033154 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12166b2 |
Quadratic twists by: -7 |