Atkin-Lehner |
2+ 3- 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
23400u |
Isogeny class |
Conductor |
23400 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
25344 |
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] |
j |
-781250/351 |
j-invariant |
L |
2.1302809308641 |
L(r)(E,1)/r! |
Ω |
0.35504682181067 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46800bp1 7800r1 23400bi1 |
Quadratic twists by: -4 -3 5 |