Atkin-Lehner |
2- 3+ 5+ 11+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
33330g |
Isogeny class |
Conductor |
33330 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
65280 |
Modular degree for the optimal curve |
Δ |
-90102988800 = -1 · 215 · 32 · 52 · 112 · 101 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -3 11+ -4 -5 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-10626,417423] |
[a1,a2,a3,a4,a6] |
Generators |
[-119:179:1] [49:107:1] |
Generators of the group modulo torsion |
j |
-132689238373647649/90102988800 |
j-invariant |
L |
9.4083819756569 |
L(r)(E,1)/r! |
Ω |
1.0628980837381 |
Real period |
R |
0.073763594393487 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
99990l1 |
Quadratic twists by: -3 |