Atkin-Lehner |
3- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
37485v |
Isogeny class |
Conductor |
37485 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
-47385045550351215 = -1 · 39 · 5 · 78 · 174 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 0 -6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,18292,-10434378] |
[a1,a2,a3,a4,a6] |
Generators |
[511720:-9975162:1331] |
Generators of the group modulo torsion |
j |
7892485271/552491415 |
j-invariant |
L |
2.4405507668823 |
L(r)(E,1)/r! |
Ω |
0.17064450558909 |
Real period |
R |
7.150979630013 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12495g1 5355m1 |
Quadratic twists by: -3 -7 |