Atkin-Lehner |
3+ 5+ 7- 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
33495f |
Isogeny class |
Conductor |
33495 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
124416 |
Modular degree for the optimal curve |
Δ |
-1466603382234375 = -1 · 32 · 56 · 7 · 116 · 292 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7- 11+ 0 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,7642,1827687] |
[a1,a2,a3,a4,a6] |
Generators |
[14:1385:1] |
Generators of the group modulo torsion |
j |
49346461080651671/1466603382234375 |
j-invariant |
L |
4.3909481011176 |
L(r)(E,1)/r! |
Ω |
0.3601451524141 |
Real period |
R |
3.0480405412125 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100485ba1 |
Quadratic twists by: -3 |