Atkin-Lehner |
2+ 3- 7+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
59094n |
Isogeny class |
Conductor |
59094 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1169280 |
Modular degree for the optimal curve |
Δ |
-3882911283197420544 = -1 · 210 · 37 · 78 · 673 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ -2 0 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,391599,-9673763] |
[a1,a2,a3,a4,a6] |
j |
1580286980783/923943936 |
j-invariant |
L |
1.1692019672827 |
L(r)(E,1)/r! |
Ω |
0.14615024609515 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19698i1 59094x1 |
Quadratic twists by: -3 -7 |