Atkin-Lehner |
2+ 3+ 5- 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
77910m |
Isogeny class |
Conductor |
77910 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
118971374760000 = 26 · 32 · 54 · 76 · 532 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 0 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-12667,-165731] |
[a1,a2,a3,a4,a6] |
Generators |
[-57:641:1] |
Generators of the group modulo torsion |
j |
1910778533929/1011240000 |
j-invariant |
L |
4.9206179063751 |
L(r)(E,1)/r! |
Ω |
0.4777026724092 |
Real period |
R |
1.287573367553 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999950238 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
1590f2 |
Quadratic twists by: -7 |