Atkin-Lehner |
2- 3- 5+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
15150bk |
Isogeny class |
Conductor |
15150 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
40320 |
Modular degree for the optimal curve |
Δ |
-11835937500000 = -1 · 25 · 3 · 513 · 101 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 -2 1 -1 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-6338,-255708] |
[a1,a2,a3,a4,a6] |
Generators |
[162:1644:1] |
Generators of the group modulo torsion |
j |
-1802041022809/757500000 |
j-invariant |
L |
8.3550093942342 |
L(r)(E,1)/r! |
Ω |
0.26214575589709 |
Real period |
R |
3.1871618007481 |
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 |
121200br1 45450ba1 3030b1 |
Quadratic twists by: -4 -3 5 |