Atkin-Lehner |
2- 3- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
15138x |
Isogeny class |
Conductor |
15138 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
7200 |
Modular degree for the optimal curve |
Δ |
19618848 = 25 · 36 · 292 |
Discriminant |
Eigenvalues |
2- 3- 2 -5 0 2 -7 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-419,3395] |
[a1,a2,a3,a4,a6] |
Generators |
[15:10:1] |
Generators of the group modulo torsion |
j |
13239457/32 |
j-invariant |
L |
7.2033838581929 |
L(r)(E,1)/r! |
Ω |
2.1724423499565 |
Real period |
R |
0.33157997763839 |
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 |
121104bz1 1682b1 15138o1 |
Quadratic twists by: -4 -3 29 |