Atkin-Lehner |
3+ 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
37485l |
Isogeny class |
Conductor |
37485 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-7871979885525 = -1 · 33 · 52 · 79 · 172 |
Discriminant |
Eigenvalues |
1 3+ 5- 7- -4 -2 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,3666,-105435] |
[a1,a2,a3,a4,a6] |
Generators |
[556:12897:1] |
Generators of the group modulo torsion |
j |
5000211/7225 |
j-invariant |
L |
6.5198353963898 |
L(r)(E,1)/r! |
Ω |
0.39228409644311 |
Real period |
R |
4.1550469771168 |
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 |
37485g2 37485e2 |
Quadratic twists by: -3 -7 |