Atkin-Lehner |
2+ 3- 5- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
51480r |
Isogeny class |
Conductor |
51480 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
921600 |
Modular degree for the optimal curve |
Δ |
-2166212304768695040 = -1 · 28 · 314 · 5 · 115 · 133 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 11+ 13+ -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,25548,-70794844] |
[a1,a2,a3,a4,a6] |
Generators |
[50570:299862:125] |
Generators of the group modulo torsion |
j |
9881592513536/11607361886835 |
j-invariant |
L |
7.5832178326371 |
L(r)(E,1)/r! |
Ω |
0.12123013089803 |
Real period |
R |
7.819031638874 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000033 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
102960br1 17160p1 |
Quadratic twists by: -4 -3 |