Atkin-Lehner |
2- 3+ 5- 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
104370cx |
Isogeny class |
Conductor |
104370 |
Conductor |
∏ cp |
570 |
Product of Tamagawa factors cp |
deg |
50561280 |
Modular degree for the optimal curve |
Δ |
-4.6576691732783E+26 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 2 -1 5 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,72815420,1010459988677] |
[a1,a2,a3,a4,a6] |
Generators |
[23197:3884881:1] |
Generators of the group modulo torsion |
j |
1058062758009283671497/11542138409779200000 |
j-invariant |
L |
10.213642967127 |
L(r)(E,1)/r! |
Ω |
0.038761736928074 |
Real period |
R |
0.46227731969693 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010182 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104370dj1 |
Quadratic twists by: -7 |