Atkin-Lehner |
3- 5+ 29+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
69165l |
Isogeny class |
Conductor |
69165 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
268800 |
Modular degree for the optimal curve |
Δ |
-222074247121875 = -1 · 313 · 55 · 292 · 53 |
Discriminant |
Eigenvalues |
2 3- 5+ 0 2 -6 1 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,15117,-47637] |
[a1,a2,a3,a4,a6] |
j |
524074493210624/304628596875 |
j-invariant |
L |
1.3255336127218 |
L(r)(E,1)/r! |
Ω |
0.33138340452747 |
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 |
23055k1 |
Quadratic twists by: -3 |