Atkin-Lehner |
2- 3+ 17+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
123114o |
Isogeny class |
Conductor |
123114 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
279936 |
Modular degree for the optimal curve |
Δ |
-1835210167488 = -1 · 26 · 39 · 172 · 712 |
Discriminant |
Eigenvalues |
2- 3+ 0 1 -6 5 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-8353,297503] |
[a1,a2,a3,a4,a6] |
Generators |
[43:-164:1] |
Generators of the group modulo torsion |
j |
-223026548352625/6350208192 |
j-invariant |
L |
8.7831047072735 |
L(r)(E,1)/r! |
Ω |
0.83214001202689 |
Real period |
R |
0.87956999181036 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000118991 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123114v1 |
Quadratic twists by: 17 |