Atkin-Lehner |
2- 3+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
89304j |
Isogeny class |
Conductor |
89304 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1190400 |
Modular degree for the optimal curve |
Δ |
-745358032933428528 = -1 · 24 · 35 · 618 |
Discriminant |
Eigenvalues |
2- 3+ -2 -4 2 2 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,225741,4523220] |
[a1,a2,a3,a4,a6] |
Generators |
[41:3721:1] [3717835:122844565:12167] |
Generators of the group modulo torsion |
j |
1543313408/904203 |
j-invariant |
L |
7.4735095348655 |
L(r)(E,1)/r! |
Ω |
0.17246277862868 |
Real period |
R |
21.667021702776 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999039 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1464a1 |
Quadratic twists by: 61 |