Atkin-Lehner |
2- 3- 19- 31- |
Signs for the Atkin-Lehner involutions |
Class |
84816v |
Isogeny class |
Conductor |
84816 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
-629827537600512 = -1 · 217 · 36 · 193 · 312 |
Discriminant |
Eigenvalues |
2- 3- 2 -3 0 -1 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-134739,-19074798] |
[a1,a2,a3,a4,a6] |
Generators |
[4366:287432:1] |
Generators of the group modulo torsion |
j |
-90597496156497/210927968 |
j-invariant |
L |
7.0994547353 |
L(r)(E,1)/r! |
Ω |
0.12457636403621 |
Real period |
R |
4.7490648221035 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999971563 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10602b1 9424g1 |
Quadratic twists by: -4 -3 |