Atkin-Lehner |
2- 3+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
966h |
Isogeny class |
Conductor |
966 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
360 |
Modular degree for the optimal curve |
Δ |
-101406816 = -1 · 25 · 39 · 7 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 1 7- 0 -1 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-615,-6147] |
[a1,a2,a3,a4,a6] |
j |
-25727239787761/101406816 |
j-invariant |
L |
2.3961535916903 |
L(r)(E,1)/r! |
Ω |
0.47923071833806 |
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 |
7728o1 30912bb1 2898g1 24150v1 |
Quadratic twists by: -4 8 -3 5 |