Atkin-Lehner |
2- 3- 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
40950eu |
Isogeny class |
Conductor |
40950 |
Conductor |
∏ cp |
2240 |
Product of Tamagawa factors cp |
deg |
15482880 |
Modular degree for the optimal curve |
Δ |
-5.4789966647997E+26 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,28489270,-1124667354103] |
[a1,a2,a3,a4,a6] |
Generators |
[19209:2541895:1] |
Generators of the group modulo torsion |
j |
224501959288069776431/48100930939256832000 |
j-invariant |
L |
8.9922879249048 |
L(r)(E,1)/r! |
Ω |
0.024453485509711 |
Real period |
R |
0.65666127646251 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999967 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13650bi1 8190q1 |
Quadratic twists by: -3 5 |