Atkin-Lehner |
2+ 3+ 5- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
96960l |
Isogeny class |
Conductor |
96960 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
4765777920 = 220 · 32 · 5 · 101 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 0 -4 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-545,-3423] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:36:1] [-8:19:1] |
Generators of the group modulo torsion |
j |
68417929/18180 |
j-invariant |
L |
10.424154889799 |
L(r)(E,1)/r! |
Ω |
1.007513367454 |
Real period |
R |
5.1732092234671 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999271 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
96960do1 3030g1 |
Quadratic twists by: -4 8 |