Atkin-Lehner |
3- 11- 23+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
84249g |
Isogeny class |
Conductor |
84249 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
788480 |
Modular degree for the optimal curve |
Δ |
-338294486346570963 = -1 · 317 · 11 · 235 · 37 |
Discriminant |
Eigenvalues |
0 3- 0 3 11- 6 -1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-128280,-33103197] |
[a1,a2,a3,a4,a6] |
Generators |
[5974059585049891:861235250109494504:287365339799] |
Generators of the group modulo torsion |
j |
-320238127415296000/464052793342347 |
j-invariant |
L |
6.3400739096168 |
L(r)(E,1)/r! |
Ω |
0.11987698129134 |
Real period |
R |
26.444083932212 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28083e1 |
Quadratic twists by: -3 |