Atkin-Lehner |
2- 3+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
113568cd |
Isogeny class |
Conductor |
113568 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
104448 |
Modular degree for the optimal curve |
Δ |
-2747437056 = -1 · 212 · 34 · 72 · 132 |
Discriminant |
Eigenvalues |
2- 3+ -3 7- 6 13+ -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3137,-66639] |
[a1,a2,a3,a4,a6] |
Generators |
[71:252:1] |
Generators of the group modulo torsion |
j |
-4933544512/3969 |
j-invariant |
L |
4.771622753559 |
L(r)(E,1)/r! |
Ω |
0.31893959655924 |
Real period |
R |
1.8701122496154 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999628142 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113568bh1 113568g1 |
Quadratic twists by: -4 13 |