Atkin-Lehner |
2- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
41650bv |
Isogeny class |
Conductor |
41650 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
12960 |
Modular degree for the optimal curve |
Δ |
-26031250 = -1 · 2 · 56 · 72 · 17 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- 0 2 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-113,-533] |
[a1,a2,a3,a4,a6] |
Generators |
[32212:706575:64] |
Generators of the group modulo torsion |
j |
-208537/34 |
j-invariant |
L |
6.5352323706179 |
L(r)(E,1)/r! |
Ω |
0.72562517919805 |
Real period |
R |
9.0063472960595 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999921 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1666f1 41650bl1 |
Quadratic twists by: 5 -7 |