Atkin-Lehner |
3- 13- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
107991c |
Isogeny class |
Conductor |
107991 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
113040 |
Modular degree for the optimal curve |
Δ |
-573234910443 = -1 · 36 · 133 · 713 |
Discriminant |
Eigenvalues |
0 3- 0 0 0 13- 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-13260,588838] |
[a1,a2,a3,a4,a6] |
Generators |
[104:578:1] |
Generators of the group modulo torsion |
j |
-160989184000/357911 |
j-invariant |
L |
5.7189275187787 |
L(r)(E,1)/r! |
Ω |
0.92167413239434 |
Real period |
R |
3.10246720605 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999614311 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11999c1 107991e1 |
Quadratic twists by: -3 13 |