Atkin-Lehner |
2- 3+ 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
129360fs |
Isogeny class |
Conductor |
129360 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
860160 |
Modular degree for the optimal curve |
Δ |
2045443631616000 = 212 · 32 · 53 · 79 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 11- -4 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-151720,-22591568] |
[a1,a2,a3,a4,a6] |
Generators |
[-236:120:1] |
Generators of the group modulo torsion |
j |
2336752783/12375 |
j-invariant |
L |
5.4117457875555 |
L(r)(E,1)/r! |
Ω |
0.24197866091243 |
Real period |
R |
1.8637131227224 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000021882 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8085v1 129360gq1 |
Quadratic twists by: -4 -7 |