Atkin-Lehner |
2- 3+ 7- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
40194bd |
Isogeny class |
Conductor |
40194 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
921600 |
Modular degree for the optimal curve |
Δ |
1748767706532 = 22 · 39 · 74 · 11 · 292 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 11- 4 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-12494036,17001295795] |
[a1,a2,a3,a4,a6] |
j |
10958235916525901089659/88846604 |
j-invariant |
L |
3.317375001903 |
L(r)(E,1)/r! |
Ω |
0.4146718752334 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40194f1 |
Quadratic twists by: -3 |