Atkin-Lehner |
2- 3+ 5+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
15150be |
Isogeny class |
Conductor |
15150 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
86400 |
Modular degree for the optimal curve |
Δ |
-3067875000000 = -1 · 26 · 35 · 59 · 101 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -3 -5 0 1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-188838,31506531] |
[a1,a2,a3,a4,a6] |
Generators |
[255:-253:1] |
Generators of the group modulo torsion |
j |
-47661971896666009/196344000 |
j-invariant |
L |
5.1792486299433 |
L(r)(E,1)/r! |
Ω |
0.70375912507759 |
Real period |
R |
0.30664188719947 |
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 |
121200dn1 45450w1 3030i1 |
Quadratic twists by: -4 -3 5 |