Atkin-Lehner |
2- 3- 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
34800cw |
Isogeny class |
Conductor |
34800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-585336000000000 = -1 · 212 · 3 · 59 · 293 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 -3 -2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,19467,-505437] |
[a1,a2,a3,a4,a6] |
Generators |
[8834:40125:343] |
Generators of the group modulo torsion |
j |
12747309056/9145875 |
j-invariant |
L |
7.0460106355817 |
L(r)(E,1)/r! |
Ω |
0.2904965637773 |
Real period |
R |
6.0637641836125 |
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 |
2175a2 104400em2 6960v2 |
Quadratic twists by: -4 -3 5 |