Atkin-Lehner |
2+ 5- 7+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
15050i |
Isogeny class |
Conductor |
15050 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
29760 |
Modular degree for the optimal curve |
Δ |
-70782031250 = -1 · 2 · 58 · 72 · 432 |
Discriminant |
Eigenvalues |
2+ -3 5- 7+ 1 -4 -1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-742,15166] |
[a1,a2,a3,a4,a6] |
Generators |
[-31:103:1] [-17:159:1] |
Generators of the group modulo torsion |
j |
-115745625/181202 |
j-invariant |
L |
3.3267166915629 |
L(r)(E,1)/r! |
Ω |
0.9826188520352 |
Real period |
R |
0.2821301366132 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
120400cl1 15050y1 105350bl1 |
Quadratic twists by: -4 5 -7 |