Atkin-Lehner |
2- 3+ 5- 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
51240v |
Isogeny class |
Conductor |
51240 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
1928263680 = 211 · 32 · 5 · 73 · 61 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 0 6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-40172160,-97988824980] |
[a1,a2,a3,a4,a6] |
Generators |
[-94030778672909:122631020:25698491351] |
Generators of the group modulo torsion |
j |
3500816295834143252225282/941535 |
j-invariant |
L |
5.7496421239249 |
L(r)(E,1)/r! |
Ω |
0.059967819523207 |
Real period |
R |
15.979798747791 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.9999999999838 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
102480u4 |
Quadratic twists by: -4 |