Atkin-Lehner |
3+ 7+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
4641b |
Isogeny class |
Conductor |
4641 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1605271262049 = 34 · 74 · 134 · 172 |
Discriminant |
Eigenvalues |
-1 3+ -2 7+ -4 13- 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3094,-27214] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:186:1] |
Generators of the group modulo torsion |
j |
3275619238041697/1605271262049 |
j-invariant |
L |
1.4038849798161 |
L(r)(E,1)/r! |
Ω |
0.67278412516478 |
Real period |
R |
1.0433398524915 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
74256dd4 13923f3 116025bg4 32487m4 |
Quadratic twists by: -4 -3 5 -7 |