Atkin-Lehner |
2- 3- 7- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
29694l |
Isogeny class |
Conductor |
29694 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
69888 |
Modular degree for the optimal curve |
Δ |
-2546739196974 = -1 · 2 · 37 · 78 · 101 |
Discriminant |
Eigenvalues |
2- 3- 3 7- 6 2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,1371,74367] |
[a1,a2,a3,a4,a6] |
j |
2422300607/21646926 |
j-invariant |
L |
8.330700380798 |
L(r)(E,1)/r! |
Ω |
0.59505002719995 |
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 |
89082w1 4242b1 |
Quadratic twists by: -3 -7 |