Atkin-Lehner |
2+ 3- 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
4350j |
Isogeny class |
Conductor |
4350 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
1680 |
Modular degree for the optimal curve |
Δ |
-24468750 = -1 · 2 · 33 · 56 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -1 6 4 7 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-126,-602] |
[a1,a2,a3,a4,a6] |
j |
-13997521/1566 |
j-invariant |
L |
2.1260991896708 |
L(r)(E,1)/r! |
Ω |
0.70869972989028 |
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 |
34800bs1 13050bg1 174c1 126150bw1 |
Quadratic twists by: -4 -3 5 29 |