Atkin-Lehner |
2+ 3- 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
71736h |
Isogeny class |
Conductor |
71736 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
384000 |
Modular degree for the optimal curve |
Δ |
-175004969416704 = -1 · 211 · 35 · 78 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 3 7- 0 4 5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-93704,11027568] |
[a1,a2,a3,a4,a6] |
j |
-377645701106/726327 |
j-invariant |
L |
5.7158544197905 |
L(r)(E,1)/r! |
Ω |
0.57158544008161 |
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 |
10248b1 |
Quadratic twists by: -7 |