Atkin-Lehner |
2- 5- 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
104780s |
Isogeny class |
Conductor |
104780 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
175104 |
Modular degree for the optimal curve |
Δ |
274471210000 = 24 · 54 · 134 · 312 |
Discriminant |
Eigenvalues |
2- -3 5- -3 1 13+ 1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2197,30589] |
[a1,a2,a3,a4,a6] |
Generators |
[-286:-2015:8] [-27:265:1] |
Generators of the group modulo torsion |
j |
2566377216/600625 |
j-invariant |
L |
7.4321557837477 |
L(r)(E,1)/r! |
Ω |
0.92003626018915 |
Real period |
R |
0.11219599741972 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000108 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104780g1 |
Quadratic twists by: 13 |