Atkin-Lehner |
2- 3+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
107712cz |
Isogeny class |
Conductor |
107712 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-41459641344 = -1 · 210 · 39 · 112 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 2 -2 11- 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,216,9720] |
[a1,a2,a3,a4,a6] |
Generators |
[238:3680:1] |
Generators of the group modulo torsion |
j |
55296/2057 |
j-invariant |
L |
8.3730931701458 |
L(r)(E,1)/r! |
Ω |
0.86546532280578 |
Real period |
R |
4.8373360269034 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999976805 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
107712b1 26928a1 107712cx1 |
Quadratic twists by: -4 8 -3 |