Atkin-Lehner |
2- 3+ 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
95550ii |
Isogeny class |
Conductor |
95550 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
2419200 |
Modular degree for the optimal curve |
Δ |
-1084440135614062500 = -1 · 22 · 33 · 58 · 711 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 2 13- 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1544138,-740886469] |
[a1,a2,a3,a4,a6] |
Generators |
[726195:118606439:27] |
Generators of the group modulo torsion |
j |
-8860001331505/23597028 |
j-invariant |
L |
9.0225719007951 |
L(r)(E,1)/r! |
Ω |
0.067706247839249 |
Real period |
R |
5.5525229561204 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012402 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
95550dr1 13650cw1 |
Quadratic twists by: 5 -7 |