Atkin-Lehner |
2- 3- 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
106470gf |
Isogeny class |
Conductor |
106470 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
4892160 |
Modular degree for the optimal curve |
Δ |
-4531653281034472320 = -1 · 27 · 311 · 5 · 72 · 138 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 5 13+ -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-9901742,-11990621379] |
[a1,a2,a3,a4,a6] |
Generators |
[28385:4737267:1] |
Generators of the group modulo torsion |
j |
-180544450042489/7620480 |
j-invariant |
L |
13.541687517493 |
L(r)(E,1)/r! |
Ω |
0.042554016837147 |
Real period |
R |
5.6825622250432 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999968586 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35490m1 106470bk1 |
Quadratic twists by: -3 13 |