Atkin-Lehner |
2+ 3+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
67518f |
Isogeny class |
Conductor |
67518 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-33241641636509856 = -1 · 25 · 39 · 116 · 313 |
Discriminant |
Eigenvalues |
2+ 3+ -3 4 11- -5 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-52476,9930608] |
[a1,a2,a3,a4,a6] |
Generators |
[-161:3847:1] |
Generators of the group modulo torsion |
j |
-458314011/953312 |
j-invariant |
L |
4.0365055804724 |
L(r)(E,1)/r! |
Ω |
0.32797906737723 |
Real period |
R |
2.0512008146012 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999985496 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
67518bg1 558f2 |
Quadratic twists by: -3 -11 |