Atkin-Lehner |
3+ 5- 37- 73- |
Signs for the Atkin-Lehner involutions |
Class |
121545d |
Isogeny class |
Conductor |
121545 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
31584 |
Modular degree for the optimal curve |
Δ |
-265818915 = -1 · 39 · 5 · 37 · 73 |
Discriminant |
Eigenvalues |
0 3+ 5- 1 -1 4 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,108,-655] |
[a1,a2,a3,a4,a6] |
j |
7077888/13505 |
j-invariant |
L |
1.8228601105866 |
L(r)(E,1)/r! |
Ω |
0.91143030912073 |
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 |
121545b1 |
Quadratic twists by: -3 |