Atkin-Lehner |
2- 3- 5+ 7+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
128100p |
Isogeny class |
Conductor |
128100 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
400896 |
Modular degree for the optimal curve |
Δ |
-31128300000000 = -1 · 28 · 36 · 58 · 7 · 61 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -2 6 7 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1533,-269937] |
[a1,a2,a3,a4,a6] |
j |
-99672064/7782075 |
j-invariant |
L |
3.4914082994356 |
L(r)(E,1)/r! |
Ω |
0.29095074332525 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25620c1 |
Quadratic twists by: 5 |