Atkin-Lehner |
2- 3+ 13- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
123708f |
Isogeny class |
Conductor |
123708 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4492800 |
Modular degree for the optimal curve |
Δ |
3.7280555129844E+19 |
Discriminant |
Eigenvalues |
2- 3+ -2 4 2 13- 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2902969,-1879988930] |
[a1,a2,a3,a4,a6] |
Generators |
[7272262867355346718:567237448209169957734:1106822887395121] |
Generators of the group modulo torsion |
j |
15945601368064/219721329 |
j-invariant |
L |
6.7779779882807 |
L(r)(E,1)/r! |
Ω |
0.11575804302918 |
Real period |
R |
29.276488447913 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999546872 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123708e1 |
Quadratic twists by: 13 |