Atkin-Lehner |
2- 5+ 19- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
78850l |
Isogeny class |
Conductor |
78850 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
324864 |
Modular degree for the optimal curve |
Δ |
-409034375000 = -1 · 23 · 58 · 19 · 832 |
Discriminant |
Eigenvalues |
2- -3 5+ 3 6 -5 -5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,1020,-28353] |
[a1,a2,a3,a4,a6] |
Generators |
[23:71:1] |
Generators of the group modulo torsion |
j |
7518017079/26178200 |
j-invariant |
L |
7.0946748961323 |
L(r)(E,1)/r! |
Ω |
0.48193959006145 |
Real period |
R |
1.2267572944861 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006791 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15770d1 |
Quadratic twists by: 5 |