Atkin-Lehner |
2- 3+ 5- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
98880bk |
Isogeny class |
Conductor |
98880 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
70656 |
Modular degree for the optimal curve |
Δ |
-3796992000 = -1 · 215 · 32 · 53 · 103 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 3 1 4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,95,-2975] |
[a1,a2,a3,a4,a6] |
Generators |
[25:-120:1] |
Generators of the group modulo torsion |
j |
2863288/115875 |
j-invariant |
L |
5.9214925611951 |
L(r)(E,1)/r! |
Ω |
0.67105122853209 |
Real period |
R |
0.36767514404689 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999839127 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98880cf1 49440d1 |
Quadratic twists by: -4 8 |