Atkin-Lehner |
2- 3+ 5+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
15150bd |
Isogeny class |
Conductor |
15150 |
Conductor |
∏ cp |
322 |
Product of Tamagawa factors cp |
deg |
13910400 |
Modular degree for the optimal curve |
Δ |
-1.7074021371871E+28 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -3 0 5 1 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-445065838,-7251666288469] |
[a1,a2,a3,a4,a6] |
Generators |
[139645:51445227:1] |
Generators of the group modulo torsion |
j |
-623988329611290511411835929/1092737367799773234462720 |
j-invariant |
L |
5.7772533593309 |
L(r)(E,1)/r! |
Ω |
0.015517970807172 |
Real period |
R |
1.1561937344764 |
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 |
121200dm1 45450u1 3030h1 |
Quadratic twists by: -4 -3 5 |