Atkin-Lehner |
2+ 5- 13- 73- |
Signs for the Atkin-Lehner involutions |
Class |
47450o |
Isogeny class |
Conductor |
47450 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
123840 |
Modular degree for the optimal curve |
Δ |
-18293457812500 = -1 · 22 · 58 · 133 · 732 |
Discriminant |
Eigenvalues |
2+ 0 5- -5 -1 13- -7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1367,207041] |
[a1,a2,a3,a4,a6] |
Generators |
[-56:353:1] [-17:483:1] |
Generators of the group modulo torsion |
j |
-723515625/46831252 |
j-invariant |
L |
5.7907800826075 |
L(r)(E,1)/r! |
Ω |
0.5694024042505 |
Real period |
R |
0.28249793308547 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999992 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47450q1 |
Quadratic twists by: 5 |