Atkin-Lehner |
2- 3+ 7+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
49056l |
Isogeny class |
Conductor |
49056 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
65536 |
Modular degree for the optimal curve |
Δ |
7369879104 = 26 · 32 · 74 · 732 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ -4 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7154,-230496] |
[a1,a2,a3,a4,a6] |
Generators |
[194:2376:1] |
Generators of the group modulo torsion |
j |
632777823990208/115154361 |
j-invariant |
L |
2.3853866363739 |
L(r)(E,1)/r! |
Ω |
0.5191131190731 |
Real period |
R |
4.5951191536783 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999809 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
49056j1 98112u2 |
Quadratic twists by: -4 8 |