Atkin-Lehner |
3+ 5- 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
105105bl |
Isogeny class |
Conductor |
105105 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
54528 |
Modular degree for the optimal curve |
Δ |
-86080995 = -1 · 33 · 5 · 73 · 11 · 132 |
Discriminant |
Eigenvalues |
2 3+ 5- 7- 11- 13- 7 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,110,-99] |
[a1,a2,a3,a4,a6] |
Generators |
[68:241:64] |
Generators of the group modulo torsion |
j |
425259008/250965 |
j-invariant |
L |
12.931082564513 |
L(r)(E,1)/r! |
Ω |
1.12321453269 |
Real period |
R |
2.8781417473519 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010396 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
105105ca1 |
Quadratic twists by: -7 |