Atkin-Lehner |
2+ 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
41650ba |
Isogeny class |
Conductor |
41650 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
72576 |
Modular degree for the optimal curve |
Δ |
-20000330000 = -1 · 24 · 54 · 76 · 17 |
Discriminant |
Eigenvalues |
2+ 3 5- 7- -4 -3 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,383,-6259] |
[a1,a2,a3,a4,a6] |
Generators |
[1506:10901:27] |
Generators of the group modulo torsion |
j |
84375/272 |
j-invariant |
L |
7.1252129202557 |
L(r)(E,1)/r! |
Ω |
0.62154982929542 |
Real period |
R |
5.731811501203 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41650ch1 850e1 |
Quadratic twists by: 5 -7 |