Atkin-Lehner |
2+ 3+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
129360y |
Isogeny class |
Conductor |
129360 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
184492455840000 = 28 · 34 · 54 · 76 · 112 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 11- 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-161716,25076416] |
[a1,a2,a3,a4,a6] |
Generators |
[-212:7056:1] |
Generators of the group modulo torsion |
j |
15529488955216/6125625 |
j-invariant |
L |
5.5659982313556 |
L(r)(E,1)/r! |
Ω |
0.55872785133427 |
Real period |
R |
2.4904782623636 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999246409 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
64680cp2 2640m2 |
Quadratic twists by: -4 -7 |