Atkin-Lehner |
3- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
37485x |
Isogeny class |
Conductor |
37485 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
-472596627715695 = -1 · 39 · 5 · 710 · 17 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 4 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,13882,-838708] |
[a1,a2,a3,a4,a6] |
Generators |
[220:3471:1] |
Generators of the group modulo torsion |
j |
3449795831/5510295 |
j-invariant |
L |
3.1539129239051 |
L(r)(E,1)/r! |
Ω |
0.2772840487303 |
Real period |
R |
5.6871517462798 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12495p1 5355s1 |
Quadratic twists by: -3 -7 |