Atkin-Lehner |
2+ 19- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
25232a |
Isogeny class |
Conductor |
25232 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
50304 |
Modular degree for the optimal curve |
Δ |
-3998523517952 = -1 · 210 · 196 · 83 |
Discriminant |
Eigenvalues |
2+ 1 0 -1 -5 -4 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-50168,4309412] |
[a1,a2,a3,a4,a6] |
Generators |
[128:-38:1] [14:1900:1] |
Generators of the group modulo torsion |
j |
-13636809560150500/3904808123 |
j-invariant |
L |
8.5307289909716 |
L(r)(E,1)/r! |
Ω |
0.76491127449654 |
Real period |
R |
0.46469055057983 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999992 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12616d1 100928w1 |
Quadratic twists by: -4 8 |