Atkin-Lehner |
5- 7+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
58835k |
Isogeny class |
Conductor |
58835 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
764568 |
Modular degree for the optimal curve |
Δ |
-13694146767942515 = -1 · 5 · 73 · 418 |
Discriminant |
Eigenvalues |
0 3 5- 7+ 3 -5 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-137842,20486767] |
[a1,a2,a3,a4,a6] |
Generators |
[1710414762161385:10441056100086773:6431742862173] |
Generators of the group modulo torsion |
j |
-36274176/1715 |
j-invariant |
L |
9.8975501945633 |
L(r)(E,1)/r! |
Ω |
0.3930067633228 |
Real period |
R |
25.184172686702 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58835m1 |
Quadratic twists by: 41 |