Atkin-Lehner |
2+ 3- 5- 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
104370ca |
Isogeny class |
Conductor |
104370 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
-7517771100 = -1 · 22 · 32 · 52 · 76 · 71 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -6 6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-418,-5344] |
[a1,a2,a3,a4,a6] |
Generators |
[27:43:1] |
Generators of the group modulo torsion |
j |
-68417929/63900 |
j-invariant |
L |
6.8153358059459 |
L(r)(E,1)/r! |
Ω |
0.50855496088008 |
Real period |
R |
3.3503437725841 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000031019 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2130b1 |
Quadratic twists by: -7 |