Atkin-Lehner |
2+ 3- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
366c |
Isogeny class |
Conductor |
366 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
228 |
Modular degree for the optimal curve |
Δ |
-863502336 = -1 · 219 · 33 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 1 -2 6 0 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-913,-10780] |
[a1,a2,a3,a4,a6] |
j |
-84033427451401/863502336 |
j-invariant |
L |
1.3021591909708 |
L(r)(E,1)/r! |
Ω |
0.43405306365693 |
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 |
2928g1 11712f1 1098i1 9150r1 |
Quadratic twists by: -4 8 -3 5 |