Atkin-Lehner |
2+ 3+ 5- 61- |
Signs for the Atkin-Lehner involutions |
Class |
5490d |
Isogeny class |
Conductor |
5490 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
131040 |
Modular degree for the optimal curve |
Δ |
-1.7023169528405E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -3 -4 1 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,615936,-69345280] |
[a1,a2,a3,a4,a6] |
Generators |
[3931:249202:1] |
Generators of the group modulo torsion |
j |
1312921583804564973/864866612224000 |
j-invariant |
L |
2.6955659938739 |
L(r)(E,1)/r! |
Ω |
0.12497882865927 |
Real period |
R |
0.71893936564859 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43920be1 5490m1 27450bh1 |
Quadratic twists by: -4 -3 5 |