Atkin-Lehner |
5- 7- 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
99715j |
Isogeny class |
Conductor |
99715 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
-17301526279296875 = -1 · 510 · 76 · 11 · 372 |
Discriminant |
Eigenvalues |
1 0 5- 7- 11+ -6 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-115159,16347540] |
[a1,a2,a3,a4,a6] |
Generators |
[-164:5632:1] [38:31781:8] |
Generators of the group modulo torsion |
j |
-1435592723091129/147060546875 |
j-invariant |
L |
13.371467223686 |
L(r)(E,1)/r! |
Ω |
0.37966212336352 |
Real period |
R |
3.521938692396 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000429 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2035a2 |
Quadratic twists by: -7 |