Atkin-Lehner |
3+ 5- 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
105105x |
Isogeny class |
Conductor |
105105 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1935360 |
Modular degree for the optimal curve |
Δ |
8838104087796608625 = 3 · 53 · 79 · 112 · 136 |
Discriminant |
Eigenvalues |
1 3+ 5- 7- 11+ 13+ -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-575432,-88383861] |
[a1,a2,a3,a4,a6] |
Generators |
[-342:8451:1] |
Generators of the group modulo torsion |
j |
522185201323183/219016458375 |
j-invariant |
L |
6.0115766263186 |
L(r)(E,1)/r! |
Ω |
0.17993469012719 |
Real period |
R |
5.5682950402982 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999511638 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
105105bt1 |
Quadratic twists by: -7 |