Atkin-Lehner |
2+ 11+ 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
38456b |
Isogeny class |
Conductor |
38456 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
793728 |
Modular degree for the optimal curve |
Δ |
-1258818390485844848 = -1 · 24 · 112 · 192 · 239 |
Discriminant |
Eigenvalues |
2+ -3 -2 2 11+ -1 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-186631,-62265389] |
[a1,a2,a3,a4,a6] |
Generators |
[591:5819:1] |
Generators of the group modulo torsion |
j |
-44931930530072308992/78676149405365303 |
j-invariant |
L |
2.8538485569711 |
L(r)(E,1)/r! |
Ω |
0.10844184205184 |
Real period |
R |
0.36551191646558 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000016 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76912c1 |
Quadratic twists by: -4 |