Atkin-Lehner |
3- 5+ 11+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
106425k |
Isogeny class |
Conductor |
106425 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
456960 |
Modular degree for the optimal curve |
Δ |
-810673387425 = -1 · 313 · 52 · 11 · 432 |
Discriminant |
Eigenvalues |
-1 3- 5+ -3 11+ 0 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-333860,74333072] |
[a1,a2,a3,a4,a6] |
Generators |
[330:-44:1] |
Generators of the group modulo torsion |
j |
-225812574787268065/44481393 |
j-invariant |
L |
2.7397873146785 |
L(r)(E,1)/r! |
Ω |
0.70642394523556 |
Real period |
R |
0.48479870700126 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999734253 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35475i1 106425v1 |
Quadratic twists by: -3 5 |