Atkin-Lehner |
2+ 3- 7- 23- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
107226n |
Isogeny class |
Conductor |
107226 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
291840 |
Modular degree for the optimal curve |
Δ |
-10873447252416 = -1 · 26 · 311 · 72 · 232 · 37 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 4 6 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2178,-162860] |
[a1,a2,a3,a4,a6] |
j |
-1567768622113/14915565504 |
j-invariant |
L |
2.4394076668767 |
L(r)(E,1)/r! |
Ω |
0.30492593475055 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35742k1 |
Quadratic twists by: -3 |