Atkin-Lehner |
5+ 19+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
37525b |
Isogeny class |
Conductor |
37525 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
37632 |
Modular degree for the optimal curve |
Δ |
-2228046875 = -1 · 57 · 192 · 79 |
Discriminant |
Eigenvalues |
0 3 5+ 1 -3 2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-3700,86656] |
[a1,a2,a3,a4,a6] |
Generators |
[930:-251:27] |
Generators of the group modulo torsion |
j |
-358516260864/142595 |
j-invariant |
L |
8.8935897956655 |
L(r)(E,1)/r! |
Ω |
1.4357893463057 |
Real period |
R |
1.5485540790763 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7505b1 |
Quadratic twists by: 5 |