Atkin-Lehner |
7- 17+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
107219l |
Isogeny class |
Conductor |
107219 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
1209600 |
Modular degree for the optimal curve |
Δ |
-17910371714257267 = -1 · 77 · 177 · 53 |
Discriminant |
Eigenvalues |
2 -2 2 7- 2 4 17+ -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,62328,2384793] |
[a1,a2,a3,a4,a6] |
Generators |
[-294:1711:8] |
Generators of the group modulo torsion |
j |
1109360734208/742012243 |
j-invariant |
L |
12.305892174945 |
L(r)(E,1)/r! |
Ω |
0.24392851132781 |
Real period |
R |
3.6034832233371 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993969 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6307f1 |
Quadratic twists by: 17 |