Atkin-Lehner |
2- 3- 5+ 7+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
29610s |
Isogeny class |
Conductor |
29610 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-2.9642858099205E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -4 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,450697,234525071] |
[a1,a2,a3,a4,a6] |
Generators |
[163:-17754:1] |
Generators of the group modulo torsion |
j |
13888363954356543959/40662356789033280 |
j-invariant |
L |
7.3164607948054 |
L(r)(E,1)/r! |
Ω |
0.14737275309268 |
Real period |
R |
2.0685813810181 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9870i4 |
Quadratic twists by: -3 |