Atkin-Lehner |
2+ 5- 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
40670g |
Isogeny class |
Conductor |
40670 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
145152 |
Modular degree for the optimal curve |
Δ |
-150685178029120 = -1 · 26 · 5 · 77 · 833 |
Discriminant |
Eigenvalues |
2+ 2 5- 7- 0 4 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,2033,-588699] |
[a1,a2,a3,a4,a6] |
Generators |
[74934:580913:729] |
Generators of the group modulo torsion |
j |
7892485271/1280802880 |
j-invariant |
L |
7.1082761845476 |
L(r)(E,1)/r! |
Ω |
0.27300538552897 |
Real period |
R |
6.5092820154207 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5810b1 |
Quadratic twists by: -7 |