Atkin-Lehner |
5+ 7+ 19- 37- |
Signs for the Atkin-Lehner involutions |
Class |
123025d |
Isogeny class |
Conductor |
123025 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
731520 |
Modular degree for the optimal curve |
Δ |
-1681982421875 = -1 · 511 · 72 · 19 · 37 |
Discriminant |
Eigenvalues |
0 0 5+ 7+ 3 -2 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-918550,-338845969] |
[a1,a2,a3,a4,a6] |
Generators |
[10328090366:131139299351:8741816] |
Generators of the group modulo torsion |
j |
-5485447850488528896/107646875 |
j-invariant |
L |
5.2869015716431 |
L(r)(E,1)/r! |
Ω |
0.077107009189188 |
Real period |
R |
17.141442700656 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000098926 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24605d1 |
Quadratic twists by: 5 |