Atkin-Lehner |
2+ 3+ 5+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
49800c |
Isogeny class |
Conductor |
49800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
188928 |
Modular degree for the optimal curve |
Δ |
-1548979200 = -1 · 210 · 36 · 52 · 83 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 3 -1 2 -7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-418768,-104166308] |
[a1,a2,a3,a4,a6] |
Generators |
[575108683:79858986696:29791] |
Generators of the group modulo torsion |
j |
-317252641917851620/60507 |
j-invariant |
L |
5.6705266641378 |
L(r)(E,1)/r! |
Ω |
0.093837429076664 |
Real period |
R |
15.1073157053 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999973 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
99600bb1 49800bi1 |
Quadratic twists by: -4 5 |