Atkin-Lehner |
3+ 5+ 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
105105p |
Isogeny class |
Conductor |
105105 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1102080 |
Modular degree for the optimal curve |
Δ |
-12360984738177075 = -1 · 3 · 52 · 79 · 11 · 135 |
Discriminant |
Eigenvalues |
2 3+ 5+ 7- 11- 13+ 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-70086,8946167] |
[a1,a2,a3,a4,a6] |
Generators |
[-2422:12191:8] |
Generators of the group modulo torsion |
j |
-943498842112/306316725 |
j-invariant |
L |
10.189524940565 |
L(r)(E,1)/r! |
Ω |
0.37835288077401 |
Real period |
R |
6.7328184138787 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999706441 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
105105cq1 |
Quadratic twists by: -7 |