Atkin-Lehner |
2- 3+ 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
76230cs |
Isogeny class |
Conductor |
76230 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-23571682041600 = -1 · 28 · 33 · 52 · 7 · 117 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 11- 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-9098,-405303] |
[a1,a2,a3,a4,a6] |
Generators |
[201:2319:1] |
Generators of the group modulo torsion |
j |
-1740992427/492800 |
j-invariant |
L |
9.6869481920706 |
L(r)(E,1)/r! |
Ω |
0.24088577567508 |
Real period |
R |
1.2566832979277 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000098 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76230h1 6930b1 |
Quadratic twists by: -3 -11 |