Atkin-Lehner |
2- 3+ 5- 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
51240v |
Isogeny class |
Conductor |
51240 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
907763871974400 = 210 · 34 · 52 · 76 · 612 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 0 6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2510760,-1530447300] |
[a1,a2,a3,a4,a6] |
Generators |
[-2008383:-40860:2197] |
Generators of the group modulo torsion |
j |
1709383595221827776164/886488156225 |
j-invariant |
L |
5.7496421239249 |
L(r)(E,1)/r! |
Ω |
0.11993563904641 |
Real period |
R |
7.9898993738969 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999578 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
102480u2 |
Quadratic twists by: -4 |