Atkin-Lehner |
2- 3+ 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
38220c |
Isogeny class |
Conductor |
38220 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
63504 |
Modular degree for the optimal curve |
Δ |
-13111924578480 = -1 · 24 · 37 · 5 · 78 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -1 13- 7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,3659,-153194] |
[a1,a2,a3,a4,a6] |
Generators |
[33:49:1] |
Generators of the group modulo torsion |
j |
58720256/142155 |
j-invariant |
L |
4.4782608669832 |
L(r)(E,1)/r! |
Ω |
0.36629526038488 |
Real period |
R |
1.3584247316031 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
114660bm1 38220bd1 |
Quadratic twists by: -3 -7 |