Atkin-Lehner |
2- 3- 23+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
65136r |
Isogeny class |
Conductor |
65136 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
40320 |
Modular degree for the optimal curve |
Δ |
-24311881728 = -1 · 213 · 37 · 23 · 59 |
Discriminant |
Eigenvalues |
2- 3- 0 0 5 -5 5 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-208,-7660] |
[a1,a2,a3,a4,a6] |
Generators |
[26:72:1] |
Generators of the group modulo torsion |
j |
-244140625/5935518 |
j-invariant |
L |
8.3014804533324 |
L(r)(E,1)/r! |
Ω |
0.51828393088264 |
Real period |
R |
0.572044447234 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000332 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8142e1 |
Quadratic twists by: -4 |