Atkin-Lehner |
5- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
9245b |
Isogeny class |
Conductor |
9245 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
101136 |
Modular degree for the optimal curve |
Δ |
-913140646687578125 = -1 · 57 · 438 |
Discriminant |
Eigenvalues |
1 1 5- -4 0 2 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,127542,42512181] |
[a1,a2,a3,a4,a6] |
j |
19630919/78125 |
j-invariant |
L |
1.3965365549646 |
L(r)(E,1)/r! |
Ω |
0.1995052221378 |
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 |
83205k1 46225c1 9245a1 |
Quadratic twists by: -3 5 -43 |