Atkin-Lehner |
2+ 3- 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
20664h |
Isogeny class |
Conductor |
20664 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
349440 |
Modular degree for the optimal curve |
Δ |
-2249988614350848 = -1 · 211 · 313 · 75 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 3 4 2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8569875,9656280142] |
[a1,a2,a3,a4,a6] |
j |
-46621870486238281250/1507033269 |
j-invariant |
L |
3.3922399826231 |
L(r)(E,1)/r! |
Ω |
0.33922399826231 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41328j1 6888b1 |
Quadratic twists by: -4 -3 |