Atkin-Lehner |
5- 7+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
38675v |
Isogeny class |
Conductor |
38675 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
6808320 |
Modular degree for the optimal curve |
Δ |
8432843045864453125 = 58 · 76 · 133 · 174 |
Discriminant |
Eigenvalues |
-2 -1 5- 7+ -4 13- 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-138321708,626203653318] |
[a1,a2,a3,a4,a6] |
Generators |
[12642:-947538:1] [-3414:6621921:8] |
Generators of the group modulo torsion |
j |
749263729182200675553280/21588078197413 |
j-invariant |
L |
3.6838027398954 |
L(r)(E,1)/r! |
Ω |
0.17004768962819 |
Real period |
R |
0.30087987114006 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38675j1 |
Quadratic twists by: 5 |