Atkin-Lehner |
2- 5+ 7+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
15050q |
Isogeny class |
Conductor |
15050 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-3762500000 = -1 · 25 · 58 · 7 · 43 |
Discriminant |
Eigenvalues |
2- 1 5+ 7+ 3 -6 4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-3563,81617] |
[a1,a2,a3,a4,a6] |
Generators |
[32:9:1] |
Generators of the group modulo torsion |
j |
-320153881321/240800 |
j-invariant |
L |
8.1476325029926 |
L(r)(E,1)/r! |
Ω |
1.3867318509124 |
Real period |
R |
0.58754203255893 |
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 |
120400bm1 3010c1 105350cs1 |
Quadratic twists by: -4 5 -7 |