Atkin-Lehner |
2+ 3- 7+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
59094l |
Isogeny class |
Conductor |
59094 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
290304 |
Modular degree for the optimal curve |
Δ |
-3459934313385984 = -1 · 212 · 37 · 78 · 67 |
Discriminant |
Eigenvalues |
2+ 3- -1 7+ 0 0 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,30420,-1966896] |
[a1,a2,a3,a4,a6] |
Generators |
[184:-3228:1] [339:6702:1] |
Generators of the group modulo torsion |
j |
740766719/823296 |
j-invariant |
L |
7.1807074655948 |
L(r)(E,1)/r! |
Ω |
0.24030197545981 |
Real period |
R |
2.4901679965582 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999971 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19698n1 59094q1 |
Quadratic twists by: -3 -7 |