Atkin-Lehner |
2+ 3+ 5- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
96600w |
Isogeny class |
Conductor |
96600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1766400 |
Modular degree for the optimal curve |
Δ |
18543676032000 = 210 · 35 · 53 · 72 · 233 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -4 4 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4927728,4211993052] |
[a1,a2,a3,a4,a6] |
Generators |
[437:46280:1] |
Generators of the group modulo torsion |
j |
103384162441255867412/144872469 |
j-invariant |
L |
5.473929539978 |
L(r)(E,1)/r! |
Ω |
0.44016866545912 |
Real period |
R |
6.2179909290398 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003349 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
96600co1 |
Quadratic twists by: 5 |