Atkin-Lehner |
2- 3+ 5- 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
81840bz |
Isogeny class |
Conductor |
81840 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
4224000 |
Modular degree for the optimal curve |
Δ |
1.223385195479E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 11+ -6 8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7786800,-8359184448] |
[a1,a2,a3,a4,a6] |
Generators |
[3582712:-351436800:343] |
Generators of the group modulo torsion |
j |
12747965531857798561201/2986780262400000 |
j-invariant |
L |
5.8798326070165 |
L(r)(E,1)/r! |
Ω |
0.090378660642054 |
Real period |
R |
6.5057753247758 |
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 |
10230bg1 |
Quadratic twists by: -4 |