Atkin-Lehner |
3+ 5+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
103455c |
Isogeny class |
Conductor |
103455 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
1584000 |
Modular degree for the optimal curve |
Δ |
29485919253285 = 39 · 5 · 112 · 195 |
Discriminant |
Eigenvalues |
-2 3+ 5+ 2 11- 3 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-599643,-178725616] |
[a1,a2,a3,a4,a6] |
Generators |
[-447:13:1] |
Generators of the group modulo torsion |
j |
10012104045047808/12380495 |
j-invariant |
L |
3.1086769448167 |
L(r)(E,1)/r! |
Ω |
0.17156409149575 |
Real period |
R |
1.8119624554807 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000006378 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103455g1 103455a1 |
Quadratic twists by: -3 -11 |