Atkin-Lehner |
2- 3+ 7+ 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
25116b |
Isogeny class |
Conductor |
25116 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
158400 |
Modular degree for the optimal curve |
Δ |
903639382394112 = 28 · 310 · 7 · 135 · 23 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ 3 13- -5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-101589,12412593] |
[a1,a2,a3,a4,a6] |
Generators |
[168:243:1] [47:2782:1] |
Generators of the group modulo torsion |
j |
452926861383565312/3529841337477 |
j-invariant |
L |
6.2981750370148 |
L(r)(E,1)/r! |
Ω |
0.50059477471754 |
Real period |
R |
0.41937946319749 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100464cd1 75348d1 |
Quadratic twists by: -4 -3 |