Atkin-Lehner |
3+ 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
37485j |
Isogeny class |
Conductor |
37485 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-3346165210815 = -1 · 39 · 5 · 76 · 172 |
Discriminant |
Eigenvalues |
1 3+ 5- 7- 2 -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-7359,-256600] |
[a1,a2,a3,a4,a6] |
Generators |
[1059953480:18538698228:3048625] |
Generators of the group modulo torsion |
j |
-19034163/1445 |
j-invariant |
L |
7.1814027039621 |
L(r)(E,1)/r! |
Ω |
0.25660943931505 |
Real period |
R |
13.992865428355 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37485f1 765a1 |
Quadratic twists by: -3 -7 |