Atkin-Lehner |
2- 3- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
103428n |
Isogeny class |
Conductor |
103428 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
35712 |
Modular degree for the optimal curve |
Δ |
-100532016 = -1 · 24 · 37 · 132 · 17 |
Discriminant |
Eigenvalues |
2- 3- -3 -4 1 13+ 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-624,-6019] |
[a1,a2,a3,a4,a6] |
Generators |
[43:216:1] |
Generators of the group modulo torsion |
j |
-13631488/51 |
j-invariant |
L |
2.8191662786162 |
L(r)(E,1)/r! |
Ω |
0.47750305129859 |
Real period |
R |
2.951987710564 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000836 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34476g1 103428m1 |
Quadratic twists by: -3 13 |