Atkin-Lehner |
2+ 5+ 23- 83- |
Signs for the Atkin-Lehner involutions |
Class |
95450d |
Isogeny class |
Conductor |
95450 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
119312500000 = 25 · 59 · 23 · 83 |
Discriminant |
Eigenvalues |
2+ -1 5+ 3 4 -4 7 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1750,-23500] |
[a1,a2,a3,a4,a6] |
Generators |
[-130:315:8] |
Generators of the group modulo torsion |
j |
37966934881/7636000 |
j-invariant |
L |
4.9081245886478 |
L(r)(E,1)/r! |
Ω |
0.74848359434996 |
Real period |
R |
3.278712206555 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999882748 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19090i1 |
Quadratic twists by: 5 |