Atkin-Lehner |
2- 3+ 5- 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
81840bz |
Isogeny class |
Conductor |
81840 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
7.2997251853826E+23 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 11+ -6 8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-139710000,634323936192] |
[a1,a2,a3,a4,a6] |
Generators |
[420513192506600492600:-30245324424662949283968:34098902728296875] |
Generators of the group modulo torsion |
j |
73628549562506871957390001/178215946908754500240 |
j-invariant |
L |
5.8798326070165 |
L(r)(E,1)/r! |
Ω |
0.090378660642054 |
Real period |
R |
32.528876623879 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006978 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10230bg3 |
Quadratic twists by: -4 |