Atkin-Lehner |
2+ 3+ 11+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
57354a |
Isogeny class |
Conductor |
57354 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
202752 |
Modular degree for the optimal curve |
Δ |
-35765350577088 = -1 · 26 · 3 · 119 · 79 |
Discriminant |
Eigenvalues |
2+ 3+ -4 0 11+ -2 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,3023,-279275] |
[a1,a2,a3,a4,a6] |
Generators |
[219:3199:1] |
Generators of the group modulo torsion |
j |
1295029/15168 |
j-invariant |
L |
1.7858179513652 |
L(r)(E,1)/r! |
Ω |
0.32044901820668 |
Real period |
R |
5.5728613594125 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000781 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57354o1 |
Quadratic twists by: -11 |