Atkin-Lehner |
2- 3- 5+ 7- 73- |
Signs for the Atkin-Lehner involutions |
Class |
122640cr |
Isogeny class |
Conductor |
122640 |
Conductor |
∏ cp |
320 |
Product of Tamagawa factors cp |
deg |
13547520 |
Modular degree for the optimal curve |
Δ |
-4.3677759134891E+22 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -6 -2 -1 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-12787096,20265331604] |
[a1,a2,a3,a4,a6] |
Generators |
[9590:883008:1] |
Generators of the group modulo torsion |
j |
-56452031497493178380569/10663515413791632000 |
j-invariant |
L |
5.868116166789 |
L(r)(E,1)/r! |
Ω |
0.1094330407602 |
Real period |
R |
0.16757153827212 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000023575 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15330c1 |
Quadratic twists by: -4 |