Atkin-Lehner |
2- 11+ 19+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
123728k |
Isogeny class |
Conductor |
123728 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
746496 |
Modular degree for the optimal curve |
Δ |
-96636917610708992 = -1 · 221 · 116 · 19 · 372 |
Discriminant |
Eigenvalues |
2- -1 0 1 11+ -1 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,38512,-14683712] |
[a1,a2,a3,a4,a6] |
Generators |
[234:2662:1] |
Generators of the group modulo torsion |
j |
1542200025755375/23592997463552 |
j-invariant |
L |
4.6410688505929 |
L(r)(E,1)/r! |
Ω |
0.16489872374504 |
Real period |
R |
1.7590603738936 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999997420086 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15466f1 |
Quadratic twists by: -4 |