Atkin-Lehner |
2- 3- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
77616ee |
Isogeny class |
Conductor |
77616 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
76339213074432 = 215 · 36 · 74 · 113 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 11+ -1 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-38955,-2929318] |
[a1,a2,a3,a4,a6] |
Generators |
[-270517:45898:2197] |
Generators of the group modulo torsion |
j |
911871625/10648 |
j-invariant |
L |
6.0071920598924 |
L(r)(E,1)/r! |
Ω |
0.3400676376248 |
Real period |
R |
8.8323489109803 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.00000000037 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9702bn2 8624m2 77616es2 |
Quadratic twists by: -4 -3 -7 |