Atkin-Lehner |
2+ 3- 7- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
59094x |
Isogeny class |
Conductor |
59094 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
167040 |
Modular degree for the optimal curve |
Δ |
-33004201337856 = -1 · 210 · 37 · 72 · 673 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- -2 0 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,7992,25920] |
[a1,a2,a3,a4,a6] |
Generators |
[48:696:1] |
Generators of the group modulo torsion |
j |
1580286980783/923943936 |
j-invariant |
L |
3.0916156438587 |
L(r)(E,1)/r! |
Ω |
0.39714318187714 |
Real period |
R |
1.9461593357081 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992452 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19698p1 59094n1 |
Quadratic twists by: -3 -7 |