Atkin-Lehner |
2- 3+ 5+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
75840bq |
Isogeny class |
Conductor |
75840 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
-13978828800 = -1 · 218 · 33 · 52 · 79 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 3 3 5 7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6881,222081] |
[a1,a2,a3,a4,a6] |
Generators |
[61:160:1] |
Generators of the group modulo torsion |
j |
-137467988281/53325 |
j-invariant |
L |
6.5746906127343 |
L(r)(E,1)/r! |
Ω |
1.2315717656602 |
Real period |
R |
0.66730689151816 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996051 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75840x1 18960x1 |
Quadratic twists by: -4 8 |