Atkin-Lehner |
5+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
99275d |
Isogeny class |
Conductor |
99275 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
933120 |
Modular degree for the optimal curve |
Δ |
-353205037618296875 = -1 · 56 · 113 · 198 |
Discriminant |
Eigenvalues |
0 1 5+ 4 11- 2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-246683,-55232081] |
[a1,a2,a3,a4,a6] |
Generators |
[3464178258:114903553877:2628072] |
Generators of the group modulo torsion |
j |
-2258403328/480491 |
j-invariant |
L |
8.0688309684249 |
L(r)(E,1)/r! |
Ω |
0.10590462748767 |
Real period |
R |
12.698266270077 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000017344 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3971a1 5225c1 |
Quadratic twists by: 5 -19 |