Atkin-Lehner |
3- 5+ 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
67275f |
Isogeny class |
Conductor |
67275 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-11494564453125 = -1 · 39 · 59 · 13 · 23 |
Discriminant |
Eigenvalues |
1 3- 5+ -1 3 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,4833,-100634] |
[a1,a2,a3,a4,a6] |
j |
1095912791/1009125 |
j-invariant |
L |
3.1397030956366 |
L(r)(E,1)/r! |
Ω |
0.39246288650549 |
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 |
22425c1 13455m1 |
Quadratic twists by: -3 5 |