Atkin-Lehner |
2- 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
67760ca |
Isogeny class |
Conductor |
67760 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1368576 |
Modular degree for the optimal curve |
Δ |
-9.411212311424E+18 |
Discriminant |
Eigenvalues |
2- -1 5- 7+ 11- 5 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-271080,-157187600] |
[a1,a2,a3,a4,a6] |
j |
-2509090441/10718750 |
j-invariant |
L |
1.1420138719796 |
L(r)(E,1)/r! |
Ω |
0.095167822455305 |
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 |
8470n1 67760cj1 |
Quadratic twists by: -4 -11 |