Atkin-Lehner |
2+ 3- 5- 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
33810bh |
Isogeny class |
Conductor |
33810 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
436800 |
Modular degree for the optimal curve |
Δ |
-40086179265162240 = -1 · 210 · 310 · 5 · 78 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ -4 -2 5 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,59117,-7880722] |
[a1,a2,a3,a4,a6] |
Generators |
[127:1232:1] |
Generators of the group modulo torsion |
j |
3963575296919/6953610240 |
j-invariant |
L |
5.3573590651462 |
L(r)(E,1)/r! |
Ω |
0.19056288147925 |
Real period |
R |
1.4056669965207 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101430do1 33810f1 |
Quadratic twists by: -3 -7 |