Atkin-Lehner |
2+ 3+ 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
7254a |
Isogeny class |
Conductor |
7254 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
737760 |
Modular degree for the optimal curve |
Δ |
-3.9329007630646E+21 |
Discriminant |
Eigenvalues |
2+ 3+ -2 3 6 13+ -5 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-8534958,10062580436] |
[a1,a2,a3,a4,a6] |
Generators |
[6325037:167534222:4913] |
Generators of the group modulo torsion |
j |
-3493305866655310412979/199812059293024256 |
j-invariant |
L |
3.1844286537155 |
L(r)(E,1)/r! |
Ω |
0.1374523189214 |
Real period |
R |
11.583757475698 |
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 |
58032q1 7254i1 94302bp1 |
Quadratic twists by: -4 -3 13 |