Atkin-Lehner |
2- 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
52800ez |
Isogeny class |
Conductor |
52800 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1474560 |
Modular degree for the optimal curve |
Δ |
269055826875000000 = 26 · 35 · 510 · 116 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 11- -2 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5051408,-4368097938] |
[a1,a2,a3,a4,a6] |
Generators |
[8899701178:4234696849625:39304] |
Generators of the group modulo torsion |
j |
14254800421166387776/269055826875 |
j-invariant |
L |
4.4054005616458 |
L(r)(E,1)/r! |
Ω |
0.10070404781186 |
Real period |
R |
14.582004256541 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000261 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52800gb1 26400p2 10560cd1 |
Quadratic twists by: -4 8 5 |