Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
100800fi |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
18517766400000000 = 214 · 310 · 58 · 72 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 4 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-378300,-89318000] |
[a1,a2,a3,a4,a6] |
Generators |
[19910:2808000:1] |
Generators of the group modulo torsion |
j |
32082281296/99225 |
j-invariant |
L |
7.7286898832014 |
L(r)(E,1)/r! |
Ω |
0.19254011173382 |
Real period |
R |
5.0175842771922 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999796675 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
100800mc2 12600ce2 33600dc2 20160cb2 |
Quadratic twists by: -4 8 -3 5 |