Atkin-Lehner |
3- 7- 19+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
51471l |
Isogeny class |
Conductor |
51471 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
576000 |
Modular degree for the optimal curve |
Δ |
-28769088047179347 = -1 · 38 · 710 · 192 · 43 |
Discriminant |
Eigenvalues |
2 3- 2 7- 3 -1 -5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,24621,8023963] |
[a1,a2,a3,a4,a6] |
Generators |
[2098:45615:8] |
Generators of the group modulo torsion |
j |
2264191982563328/39463769612043 |
j-invariant |
L |
15.04540278321 |
L(r)(E,1)/r! |
Ω |
0.27802819493695 |
Real period |
R |
1.3528666388077 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000057 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17157d1 |
Quadratic twists by: -3 |