Atkin-Lehner |
2+ 3- 7- 73- |
Signs for the Atkin-Lehner involutions |
Class |
49056j |
Isogeny class |
Conductor |
49056 |
Conductor |
∏ cp |
32 |
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] |
j |
632777823990208/115154361 |
j-invariant |
L |
2.5643780456512 |
L(r)(E,1)/r! |
Ω |
1.2821890229244 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
49056l1 98112l2 |
Quadratic twists by: -4 8 |