Atkin-Lehner |
2- 3+ 5+ 7+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
29610o |
Isogeny class |
Conductor |
29610 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
14400 |
Modular degree for the optimal curve |
Δ |
-853123320 = -1 · 23 · 33 · 5 · 75 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 2 -1 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-548,-4993] |
[a1,a2,a3,a4,a6] |
j |
-672912250947/31597160 |
j-invariant |
L |
2.9525609176918 |
L(r)(E,1)/r! |
Ω |
0.49209348628166 |
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 |
29610d1 |
Quadratic twists by: -3 |