Atkin-Lehner |
2- 3- 19- 89- |
Signs for the Atkin-Lehner involutions |
Class |
121752bj |
Isogeny class |
Conductor |
121752 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
430080 |
Modular degree for the optimal curve |
Δ |
-3331275293885184 = -1 · 28 · 310 · 195 · 89 |
Discriminant |
Eigenvalues |
2- 3- -1 2 3 5 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1977,2776714] |
[a1,a2,a3,a4,a6] |
Generators |
[185:3078:1] |
Generators of the group modulo torsion |
j |
4579058864/17850197691 |
j-invariant |
L |
8.4956005603782 |
L(r)(E,1)/r! |
Ω |
0.35117316008772 |
Real period |
R |
0.30240069352976 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999854196 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40584h1 |
Quadratic twists by: -3 |