Atkin-Lehner |
2+ 3- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
912c |
Isogeny class |
Conductor |
912 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
192 |
Modular degree for the optimal curve |
Δ |
-15803136 = -1 · 28 · 32 · 193 |
Discriminant |
Eigenvalues |
2+ 3- 1 3 5 -2 -1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,55,-93] |
[a1,a2,a3,a4,a6] |
j |
70575104/61731 |
j-invariant |
L |
2.4284936753451 |
L(r)(E,1)/r! |
Ω |
1.2142468376726 |
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 |
456d1 3648ba1 2736f1 22800d1 |
Quadratic twists by: -4 8 -3 5 |