Atkin-Lehner |
2- 3+ 5+ 11- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
33990v |
Isogeny class |
Conductor |
33990 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-307939088793600 = -1 · 227 · 34 · 52 · 11 · 103 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 11- -1 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-801,843999] |
[a1,a2,a3,a4,a6] |
Generators |
[319:-5920:1] |
Generators of the group modulo torsion |
j |
-56840141032849/307939088793600 |
j-invariant |
L |
6.7444810038511 |
L(r)(E,1)/r! |
Ω |
0.43666694444299 |
Real period |
R |
0.14301265295788 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101970v1 |
Quadratic twists by: -3 |