Atkin-Lehner |
3+ 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
37485a |
Isogeny class |
Conductor |
37485 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
403200 |
Modular degree for the optimal curve |
Δ |
-20495261916241875 = -1 · 39 · 54 · 78 · 172 |
Discriminant |
Eigenvalues |
2 3+ 5+ 7+ 6 1 17+ -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-27783,7114763] |
[a1,a2,a3,a4,a6] |
Generators |
[98:20821:8] |
Generators of the group modulo torsion |
j |
-20901888/180625 |
j-invariant |
L |
11.613459873682 |
L(r)(E,1)/r! |
Ω |
0.32854057463307 |
Real period |
R |
1.4728596671623 |
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 |
37485i1 37485p1 |
Quadratic twists by: -3 -7 |