Atkin-Lehner |
2- 11- 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
93808bi |
Isogeny class |
Conductor |
93808 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-1248772096 = -1 · 214 · 11 · 132 · 41 |
Discriminant |
Eigenvalues |
2- 0 -3 1 11- 13+ -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-179,-1934] |
[a1,a2,a3,a4,a6] |
Generators |
[18:26:1] [25:96:1] |
Generators of the group modulo torsion |
j |
-154854153/304876 |
j-invariant |
L |
9.2774736667346 |
L(r)(E,1)/r! |
Ω |
0.61357283693442 |
Real period |
R |
1.8900514144445 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000252 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11726b1 |
Quadratic twists by: -4 |