Atkin-Lehner |
3- 5- 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
105105cq |
Isogeny class |
Conductor |
105105 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
157440 |
Modular degree for the optimal curve |
Δ |
-105066636675 = -1 · 3 · 52 · 73 · 11 · 135 |
Discriminant |
Eigenvalues |
2 3- 5- 7- 11- 13- 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-1430,-26491] |
[a1,a2,a3,a4,a6] |
j |
-943498842112/306316725 |
j-invariant |
L |
7.6370019005806 |
L(r)(E,1)/r! |
Ω |
0.38185011186725 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
105105p1 |
Quadratic twists by: -7 |