Atkin-Lehner |
2+ 5+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
57200a |
Isogeny class |
Conductor |
57200 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
45504 |
Modular degree for the optimal curve |
Δ |
-9666800 = -1 · 24 · 52 · 11 · 133 |
Discriminant |
Eigenvalues |
2+ 0 5+ -5 11+ 13+ 4 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8155,-283455] |
[a1,a2,a3,a4,a6] |
Generators |
[23075640:527255217:42875] |
Generators of the group modulo torsion |
j |
-149946252744960/24167 |
j-invariant |
L |
3.3889931071517 |
L(r)(E,1)/r! |
Ω |
0.25119648815722 |
Real period |
R |
13.491403212065 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999053 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28600f1 57200r1 |
Quadratic twists by: -4 5 |