Atkin-Lehner |
5- 7- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
38675w |
Isogeny class |
Conductor |
38675 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
295680 |
Modular degree for the optimal curve |
Δ |
347102245795703125 = 58 · 72 · 137 · 172 |
Discriminant |
Eigenvalues |
0 1 5- 7- -4 13+ 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-377833,84652869] |
[a1,a2,a3,a4,a6] |
Generators |
[117:6485:1] |
Generators of the group modulo torsion |
j |
15270894846607360/888581749237 |
j-invariant |
L |
4.5980139351241 |
L(r)(E,1)/r! |
Ω |
0.29857123921678 |
Real period |
R |
3.8500141098541 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999981 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38675g1 |
Quadratic twists by: 5 |