Atkin-Lehner |
2- 3+ 19- 43- |
Signs for the Atkin-Lehner involutions |
Class |
9804c |
Isogeny class |
Conductor |
9804 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
-4691436926959872 = -1 · 28 · 38 · 19 · 435 |
Discriminant |
Eigenvalues |
2- 3+ 2 1 0 4 -5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1149452,-473962632] |
[a1,a2,a3,a4,a6] |
j |
-656079768197791284688/18325925495937 |
j-invariant |
L |
2.1870934721387 |
L(r)(E,1)/r! |
Ω |
0.072903115737958 |
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 |
39216v1 29412g1 |
Quadratic twists by: -4 -3 |