Atkin-Lehner |
2- 3- 5- 17+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
104550cm |
Isogeny class |
Conductor |
104550 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
99840 |
Modular degree for the optimal curve |
Δ |
66977343750 = 2 · 3 · 58 · 17 · 412 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 3 0 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2763,54267] |
[a1,a2,a3,a4,a6] |
Generators |
[20390:70493:1000] |
Generators of the group modulo torsion |
j |
5971949905/171462 |
j-invariant |
L |
13.645752550369 |
L(r)(E,1)/r! |
Ω |
1.0956932260629 |
Real period |
R |
6.2269950216083 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000016533 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104550f1 |
Quadratic twists by: 5 |