Atkin-Lehner |
3- 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
105903l |
Isogeny class |
Conductor |
105903 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1300992 |
Modular degree for the optimal curve |
Δ |
876171085969842243 = 317 · 74 · 414 |
Discriminant |
Eigenvalues |
1 3- 0 7- 5 -1 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-423927,96327630] |
[a1,a2,a3,a4,a6] |
j |
4090106028625/425329947 |
j-invariant |
L |
4.3591365538772 |
L(r)(E,1)/r! |
Ω |
0.27244600687783 |
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 |
35301k1 105903c1 |
Quadratic twists by: -3 41 |