Atkin-Lehner |
2- 3- 5+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
15150bj |
Isogeny class |
Conductor |
15150 |
Conductor |
∏ cp |
392 |
Product of Tamagawa factors cp |
deg |
56448 |
Modular degree for the optimal curve |
Δ |
-282735360000000 = -1 · 214 · 37 · 57 · 101 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 1 4 -7 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-12213,960417] |
[a1,a2,a3,a4,a6] |
Generators |
[-78:1239:1] |
Generators of the group modulo torsion |
j |
-12893563987849/18095063040 |
j-invariant |
L |
8.7142115100541 |
L(r)(E,1)/r! |
Ω |
0.49407768816736 |
Real period |
R |
0.044993190211959 |
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 |
121200bq1 45450z1 3030a1 |
Quadratic twists by: -4 -3 5 |