Atkin-Lehner |
2- 3- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
3696t |
Isogeny class |
Conductor |
3696 |
Conductor |
∏ cp |
13 |
Product of Tamagawa factors cp |
deg |
1248 |
Modular degree for the optimal curve |
Δ |
-1964205936 = -1 · 24 · 313 · 7 · 11 |
Discriminant |
Eigenvalues |
2- 3- 1 7+ 11+ -1 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-470,4311] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:81:1] |
Generators of the group modulo torsion |
j |
-719152519936/122762871 |
j-invariant |
L |
4.2542857874775 |
L(r)(E,1)/r! |
Ω |
1.4210416970573 |
Real period |
R |
0.2302907462607 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
924d1 14784bt1 11088bl1 92400eb1 |
Quadratic twists by: -4 8 -3 5 |