Atkin-Lehner |
2+ 17+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
122536a |
Isogeny class |
Conductor |
122536 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
5915442309968 = 24 · 178 · 53 |
Discriminant |
Eigenvalues |
2+ -2 0 4 0 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6743,175894] |
[a1,a2,a3,a4,a6] |
Generators |
[13:301:1] |
Generators of the group modulo torsion |
j |
87808000/15317 |
j-invariant |
L |
5.7422836413213 |
L(r)(E,1)/r! |
Ω |
0.72179888249834 |
Real period |
R |
3.9777587189692 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000078229 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7208a1 |
Quadratic twists by: 17 |