Atkin-Lehner |
3- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
37485s |
Isogeny class |
Conductor |
37485 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
2459431429949025 = 310 · 52 · 78 · 172 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 0 6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-48960,3431875] |
[a1,a2,a3,a4,a6] |
Generators |
[-306:18479:8] |
Generators of the group modulo torsion |
j |
151334226289/28676025 |
j-invariant |
L |
6.1929455694135 |
L(r)(E,1)/r! |
Ω |
0.4351944650119 |
Real period |
R |
3.5575737212349 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
12495h2 5355q2 |
Quadratic twists by: -3 -7 |