Atkin-Lehner |
2+ 5+ 13+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
51350a |
Isogeny class |
Conductor |
51350 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
129888 |
Modular degree for the optimal curve |
Δ |
-19523477043200 = -1 · 211 · 52 · 136 · 79 |
Discriminant |
Eigenvalues |
2+ -1 5+ -4 2 13+ -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-4110,-237260] |
[a1,a2,a3,a4,a6] |
Generators |
[24405:305264:125] |
Generators of the group modulo torsion |
j |
-307237529645905/780939081728 |
j-invariant |
L |
2.6942849637957 |
L(r)(E,1)/r! |
Ω |
0.27749897545456 |
Real period |
R |
4.8545854257737 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999188 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
51350y1 |
Quadratic twists by: 5 |