Atkin-Lehner |
2+ 3+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
107712o |
Isogeny class |
Conductor |
107712 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
270336 |
Modular degree for the optimal curve |
Δ |
680643330048 = 216 · 33 · 113 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ 4 4 11- 4 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5868,-168400] |
[a1,a2,a3,a4,a6] |
j |
12628458252/384659 |
j-invariant |
L |
6.5579441222705 |
L(r)(E,1)/r! |
Ω |
0.54649538643258 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
107712cv1 13464b1 107712j1 |
Quadratic twists by: -4 8 -3 |