Atkin-Lehner |
3- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
37485s |
Isogeny class |
Conductor |
37485 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2256430740492915 = 38 · 5 · 77 · 174 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 0 6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-743535,246949870] |
[a1,a2,a3,a4,a6] |
Generators |
[36404:160691:64] |
Generators of the group modulo torsion |
j |
530044731605089/26309115 |
j-invariant |
L |
6.1929455694135 |
L(r)(E,1)/r! |
Ω |
0.4351944650119 |
Real period |
R |
7.1151474424699 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12495h3 5355q3 |
Quadratic twists by: -3 -7 |