Atkin-Lehner |
2+ 5- 17+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
121040h |
Isogeny class |
Conductor |
121040 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
2064384 |
Modular degree for the optimal curve |
Δ |
2483369648996000000 = 28 · 56 · 178 · 89 |
Discriminant |
Eigenvalues |
2+ -2 5- 2 -4 -2 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-352180,-27001572] |
[a1,a2,a3,a4,a6] |
Generators |
[-274:7000:1] |
Generators of the group modulo torsion |
j |
18870310545595974736/9700662691390625 |
j-invariant |
L |
4.1893144976984 |
L(r)(E,1)/r! |
Ω |
0.20714608143568 |
Real period |
R |
3.3706603366813 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000033736 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60520i1 |
Quadratic twists by: -4 |