Atkin-Lehner |
2- 3- 7+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
61488bd |
Isogeny class |
Conductor |
61488 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1351680 |
Modular degree for the optimal curve |
Δ |
-18295074069221376 = -1 · 212 · 321 · 7 · 61 |
Discriminant |
Eigenvalues |
2- 3- 1 7+ 0 2 -8 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6394827,-6224314822] |
[a1,a2,a3,a4,a6] |
j |
-9685513163415099529/6126983289 |
j-invariant |
L |
0.37975397313913 |
L(r)(E,1)/r! |
Ω |
0.04746924699338 |
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 |
3843i1 20496j1 |
Quadratic twists by: -4 -3 |