Atkin-Lehner |
2- 5+ 23- 89- |
Signs for the Atkin-Lehner involutions |
Class |
102350x |
Isogeny class |
Conductor |
102350 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
290304 |
Modular degree for the optimal curve |
Δ |
-50669646875000 = -1 · 23 · 58 · 23 · 893 |
Discriminant |
Eigenvalues |
2- -1 5+ 1 -3 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-29338,1952031] |
[a1,a2,a3,a4,a6] |
Generators |
[75:387:1] [515:10867:1] |
Generators of the group modulo torsion |
j |
-178729452099289/3242857400 |
j-invariant |
L |
13.937669074409 |
L(r)(E,1)/r! |
Ω |
0.63392128483869 |
Real period |
R |
0.61073430343754 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999989399 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20470a1 |
Quadratic twists by: 5 |