Atkin-Lehner |
7- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
10241d |
Isogeny class |
Conductor |
10241 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
5040 |
Modular degree for the optimal curve |
Δ |
-59037327041 = -1 · 710 · 11 · 19 |
Discriminant |
Eigenvalues |
-1 -1 1 7- 11+ -5 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-50,-11712] |
[a1,a2,a3,a4,a6] |
Generators |
[36:168:1] |
Generators of the group modulo torsion |
j |
-49/209 |
j-invariant |
L |
1.9976137934983 |
L(r)(E,1)/r! |
Ω |
0.50471885695691 |
Real period |
R |
3.9578743016309 |
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 |
92169bj1 10241a1 112651h1 |
Quadratic twists by: -3 -7 -11 |