Atkin-Lehner |
2- 3+ 5- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
105270bq |
Isogeny class |
Conductor |
105270 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
deg |
8294400 |
Modular degree for the optimal curve |
Δ |
6445171346803200000 = 212 · 34 · 55 · 118 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5- 4 11- -2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-27665745,-56020890705] |
[a1,a2,a3,a4,a6] |
j |
1321888155259247905321/3638131200000 |
j-invariant |
L |
3.9497099627427 |
L(r)(E,1)/r! |
Ω |
0.065828511328581 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9570d1 |
Quadratic twists by: -11 |