Atkin-Lehner |
2- 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
94640cm |
Isogeny class |
Conductor |
94640 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
967680 |
Modular degree for the optimal curve |
Δ |
-1439300383539200 = -1 · 217 · 52 · 7 · 137 |
Discriminant |
Eigenvalues |
2- 3 5- 7+ 3 13+ -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-88387,-10277566] |
[a1,a2,a3,a4,a6] |
Generators |
[73866:3839680:27] |
Generators of the group modulo torsion |
j |
-3862503009/72800 |
j-invariant |
L |
13.633086377776 |
L(r)(E,1)/r! |
Ω |
0.13828882463806 |
Real period |
R |
6.1615094364903 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000754 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11830n1 7280s1 |
Quadratic twists by: -4 13 |