Atkin-Lehner |
5+ 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
52675d |
Isogeny class |
Conductor |
52675 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-49403388671875 = -1 · 510 · 76 · 43 |
Discriminant |
Eigenvalues |
0 0 5+ 7- -1 -1 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-9800,503781] |
[a1,a2,a3,a4,a6] |
Generators |
[-105:612:1] |
Generators of the group modulo torsion |
j |
-56623104/26875 |
j-invariant |
L |
3.7878319737443 |
L(r)(E,1)/r! |
Ω |
0.5922371102063 |
Real period |
R |
1.5989507869684 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999983 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10535c1 1075a1 |
Quadratic twists by: 5 -7 |