Atkin-Lehner |
2- 3+ 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
64680ci |
Isogeny class |
Conductor |
64680 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
2353998281250000 = 24 · 3 · 510 · 73 · 114 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 11- -6 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-95195,-11029668] |
[a1,a2,a3,a4,a6] |
Generators |
[-191:385:1] |
Generators of the group modulo torsion |
j |
17384275110295552/428935546875 |
j-invariant |
L |
5.0426344454901 |
L(r)(E,1)/r! |
Ω |
0.27220673417253 |
Real period |
R |
0.46312543115646 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000786 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
129360cw1 64680da1 |
Quadratic twists by: -4 -7 |