Atkin-Lehner |
2- 3+ 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
37518n |
Isogeny class |
Conductor |
37518 |
Conductor |
∏ cp |
66 |
Product of Tamagawa factors cp |
deg |
76032 |
Modular degree for the optimal curve |
Δ |
-1420060502016 = -1 · 211 · 34 · 132 · 373 |
Discriminant |
Eigenvalues |
2- 3+ 1 2 -5 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-660,57429] |
[a1,a2,a3,a4,a6] |
Generators |
[43:311:1] |
Generators of the group modulo torsion |
j |
-188152476889/8402724864 |
j-invariant |
L |
7.9659893294121 |
L(r)(E,1)/r! |
Ω |
0.7080990408496 |
Real period |
R |
0.17045187333762 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
112554g1 37518a1 |
Quadratic twists by: -3 13 |