Atkin-Lehner |
2+ 3+ 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
52800i |
Isogeny class |
Conductor |
52800 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
199680 |
Modular degree for the optimal curve |
Δ |
-79017198796800 = -1 · 214 · 313 · 52 · 112 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -1 11+ -1 2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-126853,17437597] |
[a1,a2,a3,a4,a6] |
Generators |
[276:1837:1] |
Generators of the group modulo torsion |
j |
-551149496796160/192913083 |
j-invariant |
L |
4.7042602289221 |
L(r)(E,1)/r! |
Ω |
0.5985021387291 |
Real period |
R |
3.9300279184831 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999313 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52800gw1 6600n1 52800dk1 |
Quadratic twists by: -4 8 5 |