Atkin-Lehner |
3+ 5+ 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
19425k |
Isogeny class |
Conductor |
19425 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
72576 |
Modular degree for the optimal curve |
Δ |
-418282470703125 = -1 · 33 · 513 · 73 · 37 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7- -3 -4 1 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,18537,-149094] |
[a1,a2,a3,a4,a6] |
Generators |
[480:10697:1] |
Generators of the group modulo torsion |
j |
45083805930071/26770078125 |
j-invariant |
L |
2.2010893952854 |
L(r)(E,1)/r! |
Ω |
0.31052238654138 |
Real period |
R |
0.59069530643756 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58275z1 3885f1 |
Quadratic twists by: -3 5 |