Atkin-Lehner |
2+ 3- 5- 19+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
70110u |
Isogeny class |
Conductor |
70110 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
204800 |
Modular degree for the optimal curve |
Δ |
36210547411200 = 28 · 311 · 52 · 19 · 412 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 0 4 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-19674,1026868] |
[a1,a2,a3,a4,a6] |
Generators |
[27:704:1] |
Generators of the group modulo torsion |
j |
1155278262557089/49671532800 |
j-invariant |
L |
5.3648102988518 |
L(r)(E,1)/r! |
Ω |
0.64466063919166 |
Real period |
R |
2.0804784612826 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000283 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23370i1 |
Quadratic twists by: -3 |