Atkin-Lehner |
2- 3- 5- 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
111090dd |
Isogeny class |
Conductor |
111090 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
608256 |
Modular degree for the optimal curve |
Δ |
573005476270080 = 212 · 33 · 5 · 7 · 236 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 0 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-21700,431120] |
[a1,a2,a3,a4,a6] |
Generators |
[182:1496:1] |
Generators of the group modulo torsion |
j |
7633736209/3870720 |
j-invariant |
L |
15.522307845793 |
L(r)(E,1)/r! |
Ω |
0.4570574262721 |
Real period |
R |
0.94337208516614 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000015671 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
210a1 |
Quadratic twists by: -23 |