Atkin-Lehner |
2+ 3+ 5+ 23- 37- |
Signs for the Atkin-Lehner involutions |
Class |
127650n |
Isogeny class |
Conductor |
127650 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
497664 |
Modular degree for the optimal curve |
Δ |
-339129749531250 = -1 · 2 · 34 · 57 · 232 · 373 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 3 1 -4 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,13375,-650625] |
[a1,a2,a3,a4,a6] |
Generators |
[475:10400:1] |
Generators of the group modulo torsion |
j |
16933016121839/21704303970 |
j-invariant |
L |
4.2158478424728 |
L(r)(E,1)/r! |
Ω |
0.28880470869146 |
Real period |
R |
0.30411610955772 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998810944 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25530bj1 |
Quadratic twists by: 5 |