Atkin-Lehner |
2- 3- 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
95550kc |
Isogeny class |
Conductor |
95550 |
Conductor |
∏ cp |
1560 |
Product of Tamagawa factors cp |
deg |
4792320 |
Modular degree for the optimal curve |
Δ |
1.9201288096973E+20 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 13- 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1468538,-157345308] |
[a1,a2,a3,a4,a6] |
Generators |
[-1004:17974:1] |
Generators of the group modulo torsion |
j |
65352943209688399/35827476332544 |
j-invariant |
L |
13.140784223596 |
L(r)(E,1)/r! |
Ω |
0.14656066285898 |
Real period |
R |
0.22990015098133 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000842 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3822e1 95550gx1 |
Quadratic twists by: 5 -7 |