Atkin-Lehner |
2+ 3+ 5- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
25410j |
Isogeny class |
Conductor |
25410 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
1509354000 = 24 · 34 · 53 · 7 · 113 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 11+ -4 -8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-332,-1536] |
[a1,a2,a3,a4,a6] |
Generators |
[-106:273:8] [-12:36:1] |
Generators of the group modulo torsion |
j |
3054936851/1134000 |
j-invariant |
L |
5.3184540132094 |
L(r)(E,1)/r! |
Ω |
1.1530381715966 |
Real period |
R |
0.76875946003954 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76230dg1 127050hs1 25410cc1 |
Quadratic twists by: -3 5 -11 |