Atkin-Lehner |
5+ 7+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
100555a |
Isogeny class |
Conductor |
100555 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
40320 |
Modular degree for the optimal curve |
Δ |
-4104353435 = -1 · 5 · 75 · 132 · 172 |
Discriminant |
Eigenvalues |
0 1 5+ 7+ 1 13+ 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,9,3085] |
[a1,a2,a3,a4,a6] |
Generators |
[7:59:1] |
Generators of the group modulo torsion |
j |
425984/24286115 |
j-invariant |
L |
3.8967439726763 |
L(r)(E,1)/r! |
Ω |
1.0980451551062 |
Real period |
R |
1.7744006004505 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000019482 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100555l1 |
Quadratic twists by: 13 |