Atkin-Lehner |
2- 3- 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
60306w |
Isogeny class |
Conductor |
60306 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
deg |
912384 |
Modular degree for the optimal curve |
Δ |
-407799811668897792 = -1 · 212 · 34 · 192 · 237 |
Discriminant |
Eigenvalues |
2- 3- 2 -4 0 6 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-10062,30725892] |
[a1,a2,a3,a4,a6] |
j |
-761048497/2754736128 |
j-invariant |
L |
5.7645424699366 |
L(r)(E,1)/r! |
Ω |
0.24018926946968 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
2622e1 |
Quadratic twists by: -23 |