Atkin-Lehner |
2- 3+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
75504bo |
Isogeny class |
Conductor |
75504 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
709632 |
Modular degree for the optimal curve |
Δ |
-20282287486526208 = -1 · 28 · 37 · 118 · 132 |
Discriminant |
Eigenvalues |
2- 3+ -2 -5 11- 13+ -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,49691,5347465] |
[a1,a2,a3,a4,a6] |
Generators |
[81:-3146:1] |
Generators of the group modulo torsion |
j |
247267328/369603 |
j-invariant |
L |
1.9157268598806 |
L(r)(E,1)/r! |
Ω |
0.26093256635242 |
Real period |
R |
0.61182054517587 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993842 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18876k1 75504by1 |
Quadratic twists by: -4 -11 |