Atkin-Lehner |
2+ 3+ 7- 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
40194f |
Isogeny class |
Conductor |
40194 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
307200 |
Modular degree for the optimal curve |
Δ |
2398858308 = 22 · 33 · 74 · 11 · 292 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- 11+ 4 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1388226,-629214880] |
[a1,a2,a3,a4,a6] |
Generators |
[2345:93730:1] |
Generators of the group modulo torsion |
j |
10958235916525901089659/88846604 |
j-invariant |
L |
5.4205691193024 |
L(r)(E,1)/r! |
Ω |
0.13908634560977 |
Real period |
R |
4.8715863296455 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999987 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40194bd1 |
Quadratic twists by: -3 |