Atkin-Lehner |
2+ 7- 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
73346l |
Isogeny class |
Conductor |
73346 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1036800 |
Modular degree for the optimal curve |
Δ |
-8379340424 = -1 · 23 · 7 · 136 · 31 |
Discriminant |
Eigenvalues |
2+ -3 3 7- -4 13+ 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-399463,-97077083] |
[a1,a2,a3,a4,a6] |
Generators |
[8033595105:771776548262:857375] |
Generators of the group modulo torsion |
j |
-1460474194254993/1736 |
j-invariant |
L |
2.9864521361434 |
L(r)(E,1)/r! |
Ω |
0.0949511804217 |
Real period |
R |
15.726250705257 |
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 |
434e1 |
Quadratic twists by: 13 |