Atkin-Lehner |
2- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
40768cd |
Isogeny class |
Conductor |
40768 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
-5029300201848832 = -1 · 226 · 78 · 13 |
Discriminant |
Eigenvalues |
2- 0 0 7+ 1 13- -1 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6860,3419024] |
[a1,a2,a3,a4,a6] |
Generators |
[1618:65024:1] |
Generators of the group modulo torsion |
j |
-23625/3328 |
j-invariant |
L |
5.6244324262872 |
L(r)(E,1)/r! |
Ω |
0.35345558149411 |
Real period |
R |
3.9781748547497 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40768e1 10192l1 40768ci1 |
Quadratic twists by: -4 8 -7 |