Atkin-Lehner |
2- 3+ 5- 79- |
Signs for the Atkin-Lehner involutions |
Class |
75840ca |
Isogeny class |
Conductor |
75840 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
287585280 = 210 · 32 · 5 · 792 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 0 -6 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-165,117] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:15:1] [-3:24:1] |
Generators of the group modulo torsion |
j |
488095744/280845 |
j-invariant |
L |
8.5462322000125 |
L(r)(E,1)/r! |
Ω |
1.4776665477138 |
Real period |
R |
2.8917999846282 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000098 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
75840bh1 18960v1 |
Quadratic twists by: -4 8 |