Atkin-Lehner |
3- 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
69825cc |
Isogeny class |
Conductor |
69825 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
11360160 |
Modular degree for the optimal curve |
Δ |
-1.4479674365606E+23 |
Discriminant |
Eigenvalues |
-2 3- 5+ 7- 4 4 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,10424342,-12933227156] |
[a1,a2,a3,a4,a6] |
j |
28383712415744/32806384371 |
j-invariant |
L |
2.3316201166473 |
L(r)(E,1)/r! |
Ω |
0.055514764737897 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2793e1 69825d1 |
Quadratic twists by: 5 -7 |