Atkin-Lehner |
2- 5+ 7+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
29260c |
Isogeny class |
Conductor |
29260 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
-241477423035310000 = -1 · 24 · 54 · 72 · 1110 · 19 |
Discriminant |
Eigenvalues |
2- 2 5+ 7+ 11- -4 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1341781,-598253250] |
[a1,a2,a3,a4,a6] |
j |
-16697404441330664341504/15092338939706875 |
j-invariant |
L |
2.1040053409718 |
L(r)(E,1)/r! |
Ω |
0.07013351136577 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117040bj1 |
Quadratic twists by: -4 |