Atkin-Lehner |
2+ 3+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
113568d |
Isogeny class |
Conductor |
113568 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
673920 |
Modular degree for the optimal curve |
Δ |
-34811054010690048 = -1 · 29 · 35 · 73 · 138 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7+ 0 13+ 7 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,8056,8969700] |
[a1,a2,a3,a4,a6] |
Generators |
[3016:165706:1] |
Generators of the group modulo torsion |
j |
138424/83349 |
j-invariant |
L |
4.2140978164701 |
L(r)(E,1)/r! |
Ω |
0.28621560329041 |
Real period |
R |
7.3617541704262 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999860984 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113568ct1 113568by1 |
Quadratic twists by: -4 13 |