Atkin-Lehner |
2- 5- 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
51520bz |
Isogeny class |
Conductor |
51520 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-7583744000 = -1 · 214 · 53 · 7 · 232 |
Discriminant |
Eigenvalues |
2- 1 5- 7+ -3 -3 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-805,9475] |
[a1,a2,a3,a4,a6] |
Generators |
[30:115:1] |
Generators of the group modulo torsion |
j |
-3525581824/462875 |
j-invariant |
L |
6.5590989730177 |
L(r)(E,1)/r! |
Ω |
1.2784209683854 |
Real period |
R |
0.85510421777838 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000064 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
51520bh1 12880a1 |
Quadratic twists by: -4 8 |