Atkin-Lehner |
2- 7- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
99008ct |
Isogeny class |
Conductor |
99008 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
-6563315346228379648 = -1 · 220 · 78 · 13 · 174 |
Discriminant |
Eigenvalues |
2- 0 -2 7- 4 13+ 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-907436,354812624] |
[a1,a2,a3,a4,a6] |
Generators |
[-758:24640:1] [-275:24157:1] |
Generators of the group modulo torsion |
j |
-315233093767260033/25037061104692 |
j-invariant |
L |
10.546865616458 |
L(r)(E,1)/r! |
Ω |
0.23274499296731 |
Real period |
R |
1.4160972758669 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000005 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
99008e3 24752bd3 |
Quadratic twists by: -4 8 |