Atkin-Lehner |
2+ 3+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
88752c |
Isogeny class |
Conductor |
88752 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2361216 |
Modular degree for the optimal curve |
Δ |
3473920133707458816 = 28 · 33 · 439 |
Discriminant |
Eigenvalues |
2+ 3+ 2 -4 6 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-821572,-271964000] |
[a1,a2,a3,a4,a6] |
Generators |
[-15430038248567787643575:45688222845417650938510:25494447312412895809] |
Generators of the group modulo torsion |
j |
476656/27 |
j-invariant |
L |
5.7482745354639 |
L(r)(E,1)/r! |
Ω |
0.15913661040772 |
Real period |
R |
36.121634864395 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000132 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
44376i1 88752h1 |
Quadratic twists by: -4 -43 |