Atkin-Lehner |
5+ 37+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
37925a |
Isogeny class |
Conductor |
37925 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
-23703125 = -1 · 56 · 37 · 41 |
Discriminant |
Eigenvalues |
1 -1 5+ -4 -3 -5 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-25,-250] |
[a1,a2,a3,a4,a6] |
Generators |
[10:20:1] |
Generators of the group modulo torsion |
j |
-117649/1517 |
j-invariant |
L |
1.9850353327094 |
L(r)(E,1)/r! |
Ω |
0.91078101439706 |
Real period |
R |
1.0897434736393 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1517b1 |
Quadratic twists by: 5 |