Atkin-Lehner |
3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
3675m |
Isogeny class |
Conductor |
3675 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
112896 |
Modular degree for the optimal curve |
Δ |
-6032943062138671875 = -1 · 37 · 510 · 710 |
Discriminant |
Eigenvalues |
2 3- 5+ 7- -6 -3 -4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-380158,-148802531] |
[a1,a2,a3,a4,a6] |
Generators |
[14794:591971:8] |
Generators of the group modulo torsion |
j |
-1376628736/1366875 |
j-invariant |
L |
7.2596735579046 |
L(r)(E,1)/r! |
Ω |
0.092424686237237 |
Real period |
R |
5.610493607172 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58800gf1 11025bf1 735b1 3675c1 |
Quadratic twists by: -4 -3 5 -7 |