Atkin-Lehner |
2+ 3+ 5+ 31+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
38130a |
Isogeny class |
Conductor |
38130 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
435456 |
Modular degree for the optimal curve |
Δ |
-210268666665000000 = -1 · 26 · 39 · 57 · 31 · 413 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 -1 0 5 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-80838,-23803308] |
[a1,a2,a3,a4,a6] |
Generators |
[59393284:381792842:148877] |
Generators of the group modulo torsion |
j |
-58422318358507078249/210268666665000000 |
j-invariant |
L |
3.4573786555856 |
L(r)(E,1)/r! |
Ω |
0.12981185337983 |
Real period |
R |
13.316883495488 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
114390br1 |
Quadratic twists by: -3 |