Atkin-Lehner |
3- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
37485x |
Isogeny class |
Conductor |
37485 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
22134882869541225 = 312 · 52 · 78 · 172 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 4 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-94163,-8488294] |
[a1,a2,a3,a4,a6] |
Generators |
[-162:1660:1] |
Generators of the group modulo torsion |
j |
1076575468249/258084225 |
j-invariant |
L |
3.1539129239051 |
L(r)(E,1)/r! |
Ω |
0.2772840487303 |
Real period |
R |
2.8435758731399 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
12495p2 5355s2 |
Quadratic twists by: -3 -7 |