Atkin-Lehner |
3+ 5- 7- 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
33495j |
Isogeny class |
Conductor |
33495 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-16309599265575 = -1 · 32 · 52 · 7 · 114 · 294 |
Discriminant |
Eigenvalues |
-1 3+ 5- 7- 11+ -6 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,6280,-29968] |
[a1,a2,a3,a4,a6] |
Generators |
[7:116:1] [12:211:1] |
Generators of the group modulo torsion |
j |
27390396628667519/16309599265575 |
j-invariant |
L |
5.1819071358207 |
L(r)(E,1)/r! |
Ω |
0.40647345667934 |
Real period |
R |
1.5935564335969 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999975 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100485q3 |
Quadratic twists by: -3 |