Atkin-Lehner |
2+ 3+ 5- 7- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
39270u |
Isogeny class |
Conductor |
39270 |
Conductor |
∏ cp |
110 |
Product of Tamagawa factors cp |
deg |
728640 |
Modular degree for the optimal curve |
Δ |
-1948916749635785160 = -1 · 23 · 32 · 5 · 711 · 115 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 11- -1 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-233107,79827541] |
[a1,a2,a3,a4,a6] |
Generators |
[-485:9136:1] |
Generators of the group modulo torsion |
j |
-1400853013706337380281/1948916749635785160 |
j-invariant |
L |
4.2920347993752 |
L(r)(E,1)/r! |
Ω |
0.23661939651535 |
Real period |
R |
0.16489982964529 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999963 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
117810dm1 |
Quadratic twists by: -3 |