Atkin-Lehner |
2+ 3+ 13- 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
75582c |
Isogeny class |
Conductor |
75582 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
124416 |
Modular degree for the optimal curve |
Δ |
-1417536177408 = -1 · 28 · 33 · 133 · 173 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ -2 0 -5 13- 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3018,-85004] |
[a1,a2,a3,a4,a6] |
Generators |
[308:-5458:1] |
Generators of the group modulo torsion |
j |
-112615610706171/52501339904 |
j-invariant |
L |
3.3854240554469 |
L(r)(E,1)/r! |
Ω |
0.31500292475822 |
Real period |
R |
0.29853550469526 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999970827 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75582t1 |
Quadratic twists by: -3 |