Atkin-Lehner |
2- 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
14700bi |
Isogeny class |
Conductor |
14700 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-482343750000 = -1 · 24 · 32 · 510 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -3 6 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1458,39213] |
[a1,a2,a3,a4,a6] |
j |
-6400/9 |
j-invariant |
L |
3.3612085850718 |
L(r)(E,1)/r! |
Ω |
0.84030214626795 |
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 |
58800fu1 44100cc1 14700t1 14700k1 |
Quadratic twists by: -4 -3 5 -7 |