Atkin-Lehner |
2- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
2912d |
Isogeny class |
Conductor |
2912 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
544 |
Modular degree for the optimal curve |
Δ |
-46592 = -1 · 29 · 7 · 13 |
Discriminant |
Eigenvalues |
2- -1 4 7+ -5 13- 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-96,-332] |
[a1,a2,a3,a4,a6] |
Generators |
[12:10:1] |
Generators of the group modulo torsion |
j |
-193100552/91 |
j-invariant |
L |
3.2907818311731 |
L(r)(E,1)/r! |
Ω |
0.76192660016956 |
Real period |
R |
2.1595136791659 |
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 |
2912f1 5824q1 26208o1 72800k1 |
Quadratic twists by: -4 8 -3 5 |