Atkin-Lehner |
2+ 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
30400w |
Isogeny class |
Conductor |
30400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
143360 |
Modular degree for the optimal curve |
Δ |
260642000000000 = 210 · 59 · 194 |
Discriminant |
Eigenvalues |
2+ 2 5- 2 -4 0 8 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-60333,5671037] |
[a1,a2,a3,a4,a6] |
Generators |
[3531:532:27] |
Generators of the group modulo torsion |
j |
12144109568/130321 |
j-invariant |
L |
8.5709159612796 |
L(r)(E,1)/r! |
Ω |
0.55471774548881 |
Real period |
R |
3.8627374151006 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30400bz1 3800b1 30400y1 |
Quadratic twists by: -4 8 5 |