Atkin-Lehner |
2+ 3- 7+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
59094m |
Isogeny class |
Conductor |
59094 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
155520 |
Modular degree for the optimal curve |
Δ |
-15274449056664 = -1 · 23 · 311 · 74 · 672 |
Discriminant |
Eigenvalues |
2+ 3- -1 7+ -3 -6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-13680,647352] |
[a1,a2,a3,a4,a6] |
Generators |
[51:258:1] [-306:8595:8] |
Generators of the group modulo torsion |
j |
-161763365281/8726616 |
j-invariant |
L |
6.877250755731 |
L(r)(E,1)/r! |
Ω |
0.69102310979368 |
Real period |
R |
0.41467804876707 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999975 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19698o1 59094s1 |
Quadratic twists by: -3 -7 |