Atkin-Lehner |
7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
13013h |
Isogeny class |
Conductor |
13013 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
14976 |
Modular degree for the optimal curve |
Δ |
62811265517 = 7 · 11 · 138 |
Discriminant |
Eigenvalues |
0 -2 0 7- 11+ 13+ -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-7323,238476] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:557:1] [52:31:1] |
Generators of the group modulo torsion |
j |
53248000/77 |
j-invariant |
L |
4.2298505816483 |
L(r)(E,1)/r! |
Ω |
1.104485497078 |
Real period |
R |
11.489106718482 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
117117bp1 91091a1 13013b1 |
Quadratic twists by: -3 -7 13 |