Atkin-Lehner |
2+ 3+ 7+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
49056a |
Isogeny class |
Conductor |
49056 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
23296 |
Modular degree for the optimal curve |
Δ |
-4577513472 = -1 · 212 · 37 · 7 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7+ -2 3 4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-673,-7247] |
[a1,a2,a3,a4,a6] |
Generators |
[41:180:1] |
Generators of the group modulo torsion |
j |
-8242408000/1117557 |
j-invariant |
L |
5.2318958102797 |
L(r)(E,1)/r! |
Ω |
0.46510200214649 |
Real period |
R |
2.812230320523 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999817 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49056h1 98112bu1 |
Quadratic twists by: -4 8 |