Atkin-Lehner |
2- 3- 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
17934w |
Isogeny class |
Conductor |
17934 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
26400 |
Modular degree for the optimal curve |
Δ |
-66139444224 = -1 · 210 · 32 · 76 · 61 |
Discriminant |
Eigenvalues |
2- 3- 3 7- -1 5 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1569,-27063] |
[a1,a2,a3,a4,a6] |
j |
-3630961153/562176 |
j-invariant |
L |
7.521485361255 |
L(r)(E,1)/r! |
Ω |
0.37607426806275 |
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 |
53802u1 366g1 |
Quadratic twists by: -3 -7 |