Atkin-Lehner |
2- 3+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
30912br |
Isogeny class |
Conductor |
30912 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
770304 |
Modular degree for the optimal curve |
Δ |
-360406664562180096 = -1 · 215 · 317 · 7 · 233 |
Discriminant |
Eigenvalues |
2- 3+ 1 7- 0 1 -4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3508545,2530858113] |
[a1,a2,a3,a4,a6] |
j |
-145765603223714807432/10998738542547 |
j-invariant |
L |
1.7275291248581 |
L(r)(E,1)/r! |
Ω |
0.28792152080931 |
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 |
30912bw1 15456u1 92736ex1 |
Quadratic twists by: -4 8 -3 |