Atkin-Lehner |
2+ 3+ 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
86490h |
Isogeny class |
Conductor |
86490 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
12579840 |
Modular degree for the optimal curve |
Δ |
-9.4576815E+20 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 1 -5 -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-101715954,394877826260] |
[a1,a2,a3,a4,a6] |
Generators |
[5821:-4598:1] |
Generators of the group modulo torsion |
j |
-6152849107232836210227/50000000000000 |
j-invariant |
L |
4.1721815491097 |
L(r)(E,1)/r! |
Ω |
0.14094259416052 |
Real period |
R |
1.0572140022551 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999890015 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86490bv1 86490d1 |
Quadratic twists by: -3 -31 |