Atkin-Lehner |
2- 5- 7+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
15050z |
Isogeny class |
Conductor |
15050 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
21120 |
Modular degree for the optimal curve |
Δ |
-645268750000 = -1 · 24 · 58 · 74 · 43 |
Discriminant |
Eigenvalues |
2- 2 5- 7+ -1 -1 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1763,47281] |
[a1,a2,a3,a4,a6] |
Generators |
[29:132:1] |
Generators of the group modulo torsion |
j |
-1551443665/1651888 |
j-invariant |
L |
9.7212932160569 |
L(r)(E,1)/r! |
Ω |
0.82768457433305 |
Real period |
R |
1.468145824738 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
120400ck1 15050h1 105350di1 |
Quadratic twists by: -4 5 -7 |