Atkin-Lehner |
2- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
5950o |
Isogeny class |
Conductor |
5950 |
Conductor |
∏ cp |
168 |
Product of Tamagawa factors cp |
deg |
40320 |
Modular degree for the optimal curve |
Δ |
-12500206250000000 = -1 · 27 · 511 · 76 · 17 |
Discriminant |
Eigenvalues |
2- -1 5+ 7- -2 3 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,13062,-5342969] |
[a1,a2,a3,a4,a6] |
Generators |
[275:4237:1] |
Generators of the group modulo torsion |
j |
15773593568039/800013200000 |
j-invariant |
L |
4.9726845291775 |
L(r)(E,1)/r! |
Ω |
0.1915113832686 |
Real period |
R |
0.15455641418537 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47600p1 53550bw1 1190b1 41650ca1 |
Quadratic twists by: -4 -3 5 -7 |