Atkin-Lehner |
2- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
30400bk |
Isogeny class |
Conductor |
30400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
-7600000000 = -1 · 210 · 58 · 19 |
Discriminant |
Eigenvalues |
2- -2 5+ 4 -4 0 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,467,-1437] |
[a1,a2,a3,a4,a6] |
j |
702464/475 |
j-invariant |
L |
1.496748140134 |
L(r)(E,1)/r! |
Ω |
0.74837407006909 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30400o1 7600d1 6080m1 |
Quadratic twists by: -4 8 5 |