Atkin-Lehner |
2+ 5- 7- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
108290s |
Isogeny class |
Conductor |
108290 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
602112 |
Modular degree for the optimal curve |
Δ |
-3505130720000 = -1 · 28 · 54 · 73 · 13 · 173 |
Discriminant |
Eigenvalues |
2+ -3 5- 7- 3 13+ 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-8479,315853] |
[a1,a2,a3,a4,a6] |
Generators |
[-103:349:1] [-18:689:1] |
Generators of the group modulo torsion |
j |
-196558717050207/10219040000 |
j-invariant |
L |
5.9379690376878 |
L(r)(E,1)/r! |
Ω |
0.78169706311922 |
Real period |
R |
0.15825528097853 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999936254 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
108290l1 |
Quadratic twists by: -7 |