Atkin-Lehner |
2+ 3- 7+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
105336p |
Isogeny class |
Conductor |
105336 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
734720 |
Modular degree for the optimal curve |
Δ |
-62444805960886272 = -1 · 211 · 311 · 77 · 11 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ 11- -3 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-225795,43011614] |
[a1,a2,a3,a4,a6] |
Generators |
[1490:21789:8] |
Generators of the group modulo torsion |
j |
-852725388469250/41825278341 |
j-invariant |
L |
6.501340585525 |
L(r)(E,1)/r! |
Ω |
0.34612041269467 |
Real period |
R |
4.6958661827789 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000032233 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35112l1 |
Quadratic twists by: -3 |