Atkin-Lehner |
2- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
40768cj |
Isogeny class |
Conductor |
40768 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
215040 |
Modular degree for the optimal curve |
Δ |
-962639491760128 = -1 · 218 · 710 · 13 |
Discriminant |
Eigenvalues |
2- 0 0 7- -3 13+ -7 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-336140,75026448] |
[a1,a2,a3,a4,a6] |
Generators |
[338:160:1] |
Generators of the group modulo torsion |
j |
-56723625/13 |
j-invariant |
L |
4.7023747934201 |
L(r)(E,1)/r! |
Ω |
0.48245914725315 |
Real period |
R |
2.4366699337065 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000014 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40768k1 10192bd1 40768ce1 |
Quadratic twists by: -4 8 -7 |