Atkin-Lehner |
2- 7+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
99008bv |
Isogeny class |
Conductor |
99008 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
10496 |
Modular degree for the optimal curve |
Δ |
-1683136 = -1 · 26 · 7 · 13 · 172 |
Discriminant |
Eigenvalues |
2- 0 1 7+ 0 13+ 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-62,198] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:17:1] |
Generators of the group modulo torsion |
j |
-411830784/26299 |
j-invariant |
L |
5.7940226009924 |
L(r)(E,1)/r! |
Ω |
2.6181560849635 |
Real period |
R |
1.106508247383 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999984398 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
99008cr1 49504c1 |
Quadratic twists by: -4 8 |