Atkin-Lehner |
2+ 3- 5- 29- 37- |
Signs for the Atkin-Lehner involutions |
Class |
32190m |
Isogeny class |
Conductor |
32190 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
-817904121600000000 = -1 · 214 · 3 · 58 · 292 · 373 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 0 4 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-770168,263700806] |
[a1,a2,a3,a4,a6] |
Generators |
[290:7902:1] |
Generators of the group modulo torsion |
j |
-50521857727280381692921/817904121600000000 |
j-invariant |
L |
5.7663469875399 |
L(r)(E,1)/r! |
Ω |
0.28297401735967 |
Real period |
R |
0.84906897126449 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
96570n1 |
Quadratic twists by: -3 |