Atkin-Lehner |
2+ 3- 5+ 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
33930h |
Isogeny class |
Conductor |
33930 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
119808 |
Modular degree for the optimal curve |
Δ |
-108859633593750 = -1 · 2 · 37 · 58 · 133 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 1 13+ 5 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,7875,421875] |
[a1,a2,a3,a4,a6] |
Generators |
[750:10875:8] |
Generators of the group modulo torsion |
j |
74082708125999/149327343750 |
j-invariant |
L |
3.6611366877142 |
L(r)(E,1)/r! |
Ω |
0.41054612902661 |
Real period |
R |
2.229430768471 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11310l1 |
Quadratic twists by: -3 |