Atkin-Lehner |
3- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
27753f |
Isogeny class |
Conductor |
27753 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
235200 |
Modular degree for the optimal curve |
Δ |
12034427956602777 = 37 · 11 · 298 |
Discriminant |
Eigenvalues |
-1 3- -2 -2 11- 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-413369,102124440] |
[a1,a2,a3,a4,a6] |
Generators |
[331:1096:1] |
Generators of the group modulo torsion |
j |
13132563308857/20231937 |
j-invariant |
L |
2.8665576292101 |
L(r)(E,1)/r! |
Ω |
0.40105392028389 |
Real period |
R |
1.0210802389226 |
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 |
83259f1 957a1 |
Quadratic twists by: -3 29 |