Atkin-Lehner |
2- 3- 17- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
30192bi |
Isogeny class |
Conductor |
30192 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
10240 |
Modular degree for the optimal curve |
Δ |
-23187456 = -1 · 212 · 32 · 17 · 37 |
Discriminant |
Eigenvalues |
2- 3- -3 1 3 -4 17- 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-272,-1836] |
[a1,a2,a3,a4,a6] |
j |
-545338513/5661 |
j-invariant |
L |
2.3490140419282 |
L(r)(E,1)/r! |
Ω |
0.58725351048245 |
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 |
1887a1 120768cu1 90576bh1 |
Quadratic twists by: -4 8 -3 |