Atkin-Lehner |
2+ 3+ 5- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
105270o |
Isogeny class |
Conductor |
105270 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
5326587889920 = 28 · 34 · 5 · 116 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 11- 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-30252,-2034864] |
[a1,a2,a3,a4,a6] |
Generators |
[296:3732:1] |
Generators of the group modulo torsion |
j |
1728432036001/3006720 |
j-invariant |
L |
3.3286895744644 |
L(r)(E,1)/r! |
Ω |
0.36203832048627 |
Real period |
R |
4.5971508690806 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000045473 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
870g1 |
Quadratic twists by: -11 |