Atkin-Lehner |
2- 5- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
69440ef |
Isogeny class |
Conductor |
69440 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
-595448000 = -1 · 26 · 53 · 74 · 31 |
Discriminant |
Eigenvalues |
2- -3 5- 7- 4 2 -1 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,8,1174] |
[a1,a2,a3,a4,a6] |
Generators |
[3:35:1] |
Generators of the group modulo torsion |
j |
884736/9303875 |
j-invariant |
L |
4.6792942888336 |
L(r)(E,1)/r! |
Ω |
1.2855845616517 |
Real period |
R |
0.30331819653844 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999563 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
69440bl1 17360z1 |
Quadratic twists by: -4 8 |