Atkin-Lehner |
2- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
62192o |
Isogeny class |
Conductor |
62192 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
-271924965318656 = -1 · 213 · 137 · 232 |
Discriminant |
Eigenvalues |
2- 1 -3 3 2 13+ -1 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-37912,2937364] |
[a1,a2,a3,a4,a6] |
Generators |
[30:1352:1] |
Generators of the group modulo torsion |
j |
-304821217/13754 |
j-invariant |
L |
6.3032599723484 |
L(r)(E,1)/r! |
Ω |
0.54520855334197 |
Real period |
R |
0.36128720455183 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000062 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7774a1 4784d1 |
Quadratic twists by: -4 13 |