Atkin-Lehner |
2- 5- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
56180c |
Isogeny class |
Conductor |
56180 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
539136 |
Modular degree for the optimal curve |
Δ |
-187953782373920000 = -1 · 28 · 54 · 537 |
Discriminant |
Eigenvalues |
2- -1 5- -2 -2 5 -7 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,122660,12674312] |
[a1,a2,a3,a4,a6] |
Generators |
[-598:14045:8] |
Generators of the group modulo torsion |
j |
35969456/33125 |
j-invariant |
L |
3.9734615916892 |
L(r)(E,1)/r! |
Ω |
0.20872697125323 |
Real period |
R |
1.1897904137381 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997946 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1060a1 |
Quadratic twists by: 53 |