Atkin-Lehner |
2- 3+ 5+ 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
122100i |
Isogeny class |
Conductor |
122100 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
-3708787500000000 = -1 · 28 · 36 · 511 · 11 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -1 11- 2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-18133,3083137] |
[a1,a2,a3,a4,a6] |
j |
-164852924416/927196875 |
j-invariant |
L |
1.5311991895823 |
L(r)(E,1)/r! |
Ω |
0.38279964826925 |
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 |
24420q1 |
Quadratic twists by: 5 |