Atkin-Lehner |
2+ 3- 37+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
125208c |
Isogeny class |
Conductor |
125208 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
1098240436224 = 211 · 38 · 37 · 472 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 -6 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-127731,-17570770] |
[a1,a2,a3,a4,a6] |
j |
154367250308066/735597 |
j-invariant |
L |
1.0101499494777 |
L(r)(E,1)/r! |
Ω |
0.25253733947331 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41736d2 |
Quadratic twists by: -3 |