Atkin-Lehner |
3- 5+ 23- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
30015f |
Isogeny class |
Conductor |
30015 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-15951201615 = -1 · 314 · 5 · 23 · 29 |
Discriminant |
Eigenvalues |
-1 3- 5+ 0 -4 -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,382,-5448] |
[a1,a2,a3,a4,a6] |
Generators |
[75:626:1] |
Generators of the group modulo torsion |
j |
8477185319/21880935 |
j-invariant |
L |
2.8531535060711 |
L(r)(E,1)/r! |
Ω |
0.6390592060278 |
Real period |
R |
4.4646152956708 |
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 |
10005d1 |
Quadratic twists by: -3 |