Atkin-Lehner |
2+ 3- 5- 37- |
Signs for the Atkin-Lehner involutions |
Class |
123210bt |
Isogeny class |
Conductor |
123210 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
497664 |
Modular degree for the optimal curve |
Δ |
-346181596875000 = -1 · 23 · 37 · 58 · 373 |
Discriminant |
Eigenvalues |
2+ 3- 5- -1 -1 1 -5 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,10566,788940] |
[a1,a2,a3,a4,a6] |
Generators |
[-442:1701:8] [-39:582:1] |
Generators of the group modulo torsion |
j |
3532642667/9375000 |
j-invariant |
L |
9.6141510679297 |
L(r)(E,1)/r! |
Ω |
0.37801459090488 |
Real period |
R |
0.39739500550626 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000154 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41070bf1 123210db1 |
Quadratic twists by: -3 37 |