Atkin-Lehner |
2- 3+ 7+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
119616s |
Isogeny class |
Conductor |
119616 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
96256 |
Modular degree for the optimal curve |
Δ |
-295526758464 = -1 · 26 · 32 · 78 · 89 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ 0 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,268,-26190] |
[a1,a2,a3,a4,a6] |
Generators |
[22221557140:-528092192369:39304000] |
Generators of the group modulo torsion |
j |
33138024128/4617605601 |
j-invariant |
L |
6.4972561794098 |
L(r)(E,1)/r! |
Ω |
0.45967182305444 |
Real period |
R |
14.134553937837 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004222 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
119616ba1 59808j2 |
Quadratic twists by: -4 8 |