Atkin-Lehner |
3+ 5+ 13+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
98475a |
Isogeny class |
Conductor |
98475 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
432000 |
Modular degree for the optimal curve |
Δ |
-10594794462890625 = -1 · 34 · 510 · 13 · 1013 |
Discriminant |
Eigenvalues |
1 3+ 5+ 0 -2 13+ 1 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,52175,-1844750] |
[a1,a2,a3,a4,a6] |
Generators |
[36328894:760714984:117649] |
Generators of the group modulo torsion |
j |
1608414708575/1084906953 |
j-invariant |
L |
5.8944837544567 |
L(r)(E,1)/r! |
Ω |
0.23028624574306 |
Real period |
R |
12.79816715492 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000036406 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98475u1 |
Quadratic twists by: 5 |