Atkin-Lehner |
2+ 5- 7+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
15050k |
Isogeny class |
Conductor |
15050 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
-221972450000000 = -1 · 27 · 58 · 74 · 432 |
Discriminant |
Eigenvalues |
2+ 1 5- 7+ 3 4 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-36576,-2789202] |
[a1,a2,a3,a4,a6] |
Generators |
[6204:23222:27] |
Generators of the group modulo torsion |
j |
-13852725705625/568249472 |
j-invariant |
L |
4.2506285741723 |
L(r)(E,1)/r! |
Ω |
0.17219865038282 |
Real period |
R |
2.0570373058106 |
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 |
120400ch1 15050u1 105350bp1 |
Quadratic twists by: -4 5 -7 |