Atkin-Lehner |
2+ 3- 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
46800bp |
Isogeny class |
Conductor |
46800 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
50688 |
Modular degree for the optimal curve |
Δ |
-327525120000 = -1 · 211 · 39 · 54 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 -4 13- -8 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1875,41650] |
[a1,a2,a3,a4,a6] |
Generators |
[-25:-270:1] [29:108:1] |
Generators of the group modulo torsion |
j |
-781250/351 |
j-invariant |
L |
9.254509843433 |
L(r)(E,1)/r! |
Ω |
0.90118320477302 |
Real period |
R |
0.21394349937252 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999986 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23400u1 15600w1 46800q1 |
Quadratic twists by: -4 -3 5 |