Atkin-Lehner |
2- 5- 29+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
122960p |
Isogeny class |
Conductor |
122960 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
509131250000 = 24 · 58 · 29 · 532 |
Discriminant |
Eigenvalues |
2- -2 5- 4 2 2 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-26945,-1711082] |
[a1,a2,a3,a4,a6] |
Generators |
[3658:72345:8] |
Generators of the group modulo torsion |
j |
135224196945166336/31820703125 |
j-invariant |
L |
6.419885271812 |
L(r)(E,1)/r! |
Ω |
0.37263598966484 |
Real period |
R |
4.3070754147648 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000005116 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30740a1 |
Quadratic twists by: -4 |