Atkin-Lehner |
2+ 7- 17- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
88298m |
Isogeny class |
Conductor |
88298 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-2909542790663936 = -1 · 28 · 77 · 173 · 532 |
Discriminant |
Eigenvalues |
2+ 0 -2 7- 0 2 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,21257,2299485] |
[a1,a2,a3,a4,a6] |
Generators |
[-33:1266:1] |
Generators of the group modulo torsion |
j |
9028797181767/24730705664 |
j-invariant |
L |
2.8615532801395 |
L(r)(E,1)/r! |
Ω |
0.31703411844226 |
Real period |
R |
1.5043350837838 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999907903 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12614a1 |
Quadratic twists by: -7 |