Atkin-Lehner |
2- 3+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
69312ch |
Isogeny class |
Conductor |
69312 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2276352 |
Modular degree for the optimal curve |
Δ |
-1.1090856008997E+20 |
Discriminant |
Eigenvalues |
2- 3+ -2 1 0 5 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2313769,-1445540855] |
[a1,a2,a3,a4,a6] |
j |
-19692240832/1594323 |
j-invariant |
L |
1.9495317931832 |
L(r)(E,1)/r! |
Ω |
0.060922868685065 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
69312dc1 34656bb1 69312dq1 |
Quadratic twists by: -4 8 -19 |