Atkin-Lehner |
3- 5+ 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
103155g |
Isogeny class |
Conductor |
103155 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
1391040 |
Modular degree for the optimal curve |
Δ |
209039820114763755 = 35 · 5 · 133 · 238 |
Discriminant |
Eigenvalues |
-1 3- 5+ -2 -4 13+ -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1076526,429264441] |
[a1,a2,a3,a4,a6] |
Generators |
[573:507:1] |
Generators of the group modulo torsion |
j |
1761873076129/2669355 |
j-invariant |
L |
2.505224975882 |
L(r)(E,1)/r! |
Ω |
0.31609888061608 |
Real period |
R |
0.52836313594414 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000153363 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103155k1 |
Quadratic twists by: -23 |