Atkin-Lehner |
2- 3- 5+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
42480bi |
Isogeny class |
Conductor |
42480 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
128000 |
Modular degree for the optimal curve |
Δ |
133781414400000 = 212 · 311 · 55 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 -3 -1 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-40368,3071792] |
[a1,a2,a3,a4,a6] |
Generators |
[-191:1953:1] |
Generators of the group modulo torsion |
j |
2436396322816/44803125 |
j-invariant |
L |
5.462467691521 |
L(r)(E,1)/r! |
Ω |
0.58441243749945 |
Real period |
R |
4.6734697458653 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999979 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2655g1 14160t1 |
Quadratic twists by: -4 -3 |