Atkin-Lehner |
2- 3+ 11- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
57354r |
Isogeny class |
Conductor |
57354 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
44352 |
Modular degree for the optimal curve |
Δ |
-14271510528 = -1 · 211 · 36 · 112 · 79 |
Discriminant |
Eigenvalues |
2- 3+ -2 2 11- 2 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1174,-17005] |
[a1,a2,a3,a4,a6] |
Generators |
[65:-465:1] |
Generators of the group modulo torsion |
j |
-1478991754537/117946368 |
j-invariant |
L |
8.1253780596789 |
L(r)(E,1)/r! |
Ω |
0.40594776848024 |
Real period |
R |
0.90981006677316 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000044 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57354e1 |
Quadratic twists by: -11 |