Atkin-Lehner |
2+ 3+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
69312o |
Isogeny class |
Conductor |
69312 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
-47582237163700224 = -1 · 214 · 32 · 199 |
Discriminant |
Eigenvalues |
2+ 3+ -1 -3 5 -2 -1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,78939,-6131331] |
[a1,a2,a3,a4,a6] |
j |
70575104/61731 |
j-invariant |
L |
1.5758147748164 |
L(r)(E,1)/r! |
Ω |
0.19697684761078 |
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 |
69312dk1 8664f1 3648k1 |
Quadratic twists by: -4 8 -19 |