Atkin-Lehner |
2+ 3+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
122304cd |
Isogeny class |
Conductor |
122304 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
59369367343104 = 212 · 36 · 76 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- -4 13- 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-45929,3785769] |
[a1,a2,a3,a4,a6] |
Generators |
[-65:2548:1] |
Generators of the group modulo torsion |
j |
22235451328/123201 |
j-invariant |
L |
3.9424885842855 |
L(r)(E,1)/r! |
Ω |
0.62820340713665 |
Real period |
R |
1.5689538079098 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000185694 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
122304eh2 61152bt1 2496h2 |
Quadratic twists by: -4 8 -7 |