Atkin-Lehner |
2- 3- 5- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
40950fb |
Isogeny class |
Conductor |
40950 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
983040 |
Modular degree for the optimal curve |
Δ |
1523375626500000000 = 28 · 314 · 59 · 72 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 0 13- 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1957055,-1051622553] |
[a1,a2,a3,a4,a6] |
Generators |
[-795:1538:1] |
Generators of the group modulo torsion |
j |
582203792000501/1069915392 |
j-invariant |
L |
8.7735849211047 |
L(r)(E,1)/r! |
Ω |
0.12765762378381 |
Real period |
R |
4.2954665872334 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13650o1 40950ch1 |
Quadratic twists by: -3 5 |