Atkin-Lehner |
2- 3+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
56784bp |
Isogeny class |
Conductor |
56784 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
988416 |
Modular degree for the optimal curve |
Δ |
-4479276487261814784 = -1 · 225 · 311 · 73 · 133 |
Discriminant |
Eigenvalues |
2- 3+ -1 7+ 3 13- -7 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-742096,-266048576] |
[a1,a2,a3,a4,a6] |
Generators |
[38624850:1781460278:15625] |
Generators of the group modulo torsion |
j |
-5022437771811277/497757560832 |
j-invariant |
L |
4.0311103185903 |
L(r)(E,1)/r! |
Ω |
0.080876109715372 |
Real period |
R |
12.460757363804 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995628 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7098bf1 56784ce1 |
Quadratic twists by: -4 13 |