Atkin-Lehner |
2+ 3- 13- 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
102258p |
Isogeny class |
Conductor |
102258 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
190080 |
Modular degree for the optimal curve |
Δ |
155486561256 = 23 · 36 · 132 · 193 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 3 2 -3 13- 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-12753,-550827] |
[a1,a2,a3,a4,a6] |
Generators |
[-4076:2285:64] |
Generators of the group modulo torsion |
j |
314667882960913/213287464 |
j-invariant |
L |
7.1037252834452 |
L(r)(E,1)/r! |
Ω |
0.44927529539582 |
Real period |
R |
2.6352533144411 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000022122 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11362l1 |
Quadratic twists by: -3 |