Atkin-Lehner |
3+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
53361k |
Isogeny class |
Conductor |
53361 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
483840 |
Modular degree for the optimal curve |
Δ |
-25015790092652667 = -1 · 39 · 72 · 1110 |
Discriminant |
Eigenvalues |
0 3+ 4 7- 11- 5 -4 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-45738,8490116] |
[a1,a2,a3,a4,a6] |
Generators |
[-26730:364208:125] |
Generators of the group modulo torsion |
j |
-6193152/14641 |
j-invariant |
L |
6.9199570942351 |
L(r)(E,1)/r! |
Ω |
0.33452705238332 |
Real period |
R |
5.1714480524614 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000089 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53361l1 53361e1 4851c1 |
Quadratic twists by: -3 -7 -11 |