Atkin-Lehner |
2- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
33800u |
Isogeny class |
Conductor |
33800 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
1254970340000000 = 28 · 57 · 137 |
Discriminant |
Eigenvalues |
2- -2 5+ 0 -2 13+ -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-85908,-9569312] |
[a1,a2,a3,a4,a6] |
Generators |
[-178:338:1] [-162:350:1] |
Generators of the group modulo torsion |
j |
3631696/65 |
j-invariant |
L |
6.2874106906915 |
L(r)(E,1)/r! |
Ω |
0.27916597592487 |
Real period |
R |
1.407632742014 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
67600m1 6760c1 2600a1 |
Quadratic twists by: -4 5 13 |