Atkin-Lehner |
2- 3+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
107712de |
Isogeny class |
Conductor |
107712 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
811008 |
Modular degree for the optimal curve |
Δ |
496188987604992 = 216 · 39 · 113 · 172 |
Discriminant |
Eigenvalues |
2- 3+ -4 -4 11- 4 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-52812,-4546800] |
[a1,a2,a3,a4,a6] |
Generators |
[-134:352:1] [-123:297:1] |
Generators of the group modulo torsion |
j |
12628458252/384659 |
j-invariant |
L |
8.2107847823025 |
L(r)(E,1)/r! |
Ω |
0.31551925846774 |
Real period |
R |
2.1685904956798 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001093 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
107712j1 26928b1 107712cv1 |
Quadratic twists by: -4 8 -3 |