Atkin-Lehner |
2+ 3+ 5- 19+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
88350u |
Isogeny class |
Conductor |
88350 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1451520 |
Modular degree for the optimal curve |
Δ |
-299739744000000000 = -1 · 214 · 33 · 59 · 192 · 312 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 4 2 -4 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-139950,-33223500] |
[a1,a2,a3,a4,a6] |
Generators |
[237582180:25971856910:19683] |
Generators of the group modulo torsion |
j |
-155209117748021/153466748928 |
j-invariant |
L |
4.6030648414969 |
L(r)(E,1)/r! |
Ω |
0.1186686307194 |
Real period |
R |
9.6973075444315 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000020957 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
88350cy1 |
Quadratic twists by: 5 |