Atkin-Lehner |
2+ 3+ 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
81600cg |
Isogeny class |
Conductor |
81600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3133440 |
Modular degree for the optimal curve |
Δ |
-2.388576454848E+20 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -3 2 -5 17- 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1301333,-937326963] |
[a1,a2,a3,a4,a6] |
Generators |
[842598117410512980884:1729984293064274865763657:199883524375709] |
Generators of the group modulo torsion |
j |
-38081092648960/37321507107 |
j-invariant |
L |
4.8655816494997 |
L(r)(E,1)/r! |
Ω |
0.067973403036692 |
Real period |
R |
35.790334396479 |
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 |
81600jw1 5100s1 81600db1 |
Quadratic twists by: -4 8 5 |