Atkin-Lehner |
7+ 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
10241a |
Isogeny class |
Conductor |
10241 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
720 |
Modular degree for the optimal curve |
Δ |
-501809 = -1 · 74 · 11 · 19 |
Discriminant |
Eigenvalues |
-1 1 -1 7+ 11+ 5 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1,34] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:5:1] |
Generators of the group modulo torsion |
j |
-49/209 |
j-invariant |
L |
3.0207886624112 |
L(r)(E,1)/r! |
Ω |
2.3594211107437 |
Real period |
R |
0.42676974854212 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92169g1 10241d1 112651c1 |
Quadratic twists by: -3 -7 -11 |