Atkin-Lehner |
2- 3+ 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
37518l |
Isogeny class |
Conductor |
37518 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
40320 |
Modular degree for the optimal curve |
Δ |
-1844084736 = -1 · 215 · 32 · 132 · 37 |
Discriminant |
Eigenvalues |
2- 3+ -3 -4 -3 13+ 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1167,14997] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:-142:1] [-17:182:1] |
Generators of the group modulo torsion |
j |
-1040094583177/10911744 |
j-invariant |
L |
8.4591583963644 |
L(r)(E,1)/r! |
Ω |
1.490546299797 |
Real period |
R |
0.18917355776462 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
112554c1 37518e1 |
Quadratic twists by: -3 13 |