Atkin-Lehner |
2+ 3- 5- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
120600z |
Isogeny class |
Conductor |
120600 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
179712 |
Modular degree for the optimal curve |
Δ |
1688014080000 = 211 · 39 · 54 · 67 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 2 3 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5475,-142850] |
[a1,a2,a3,a4,a6] |
Generators |
[-46:108:1] |
Generators of the group modulo torsion |
j |
19450850/1809 |
j-invariant |
L |
9.5209845994062 |
L(r)(E,1)/r! |
Ω |
0.55832076453597 |
Real period |
R |
2.8421489173486 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000063703 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40200bk1 120600cb1 |
Quadratic twists by: -3 5 |