Atkin-Lehner |
2+ 5- 41- |
Signs for the Atkin-Lehner involutions |
Class |
65600bc |
Isogeny class |
Conductor |
65600 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
-33587200000000 = -1 · 221 · 58 · 41 |
Discriminant |
Eigenvalues |
2+ 0 5- -5 -6 -1 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3500,-290000] |
[a1,a2,a3,a4,a6] |
Generators |
[150:-1600:1] |
Generators of the group modulo torsion |
j |
-46305/328 |
j-invariant |
L |
1.7825098716969 |
L(r)(E,1)/r! |
Ω |
0.27522834876676 |
Real period |
R |
0.53970635656143 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999981654 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
65600cj1 2050g1 65600t1 |
Quadratic twists by: -4 8 5 |