Atkin-Lehner |
2- 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
41650cl |
Isogeny class |
Conductor |
41650 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-18758122003906250 = -1 · 2 · 59 · 710 · 17 |
Discriminant |
Eigenvalues |
2- -1 5- 7- -2 -5 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-55763,-8336469] |
[a1,a2,a3,a4,a6] |
j |
-83453453/81634 |
j-invariant |
L |
0.59762988960607 |
L(r)(E,1)/r! |
Ω |
0.14940747240519 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41650bc1 5950r1 |
Quadratic twists by: 5 -7 |