Atkin-Lehner |
2- 3- 5+ 7+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
25620h |
Isogeny class |
Conductor |
25620 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-926289665280 = -1 · 28 · 34 · 5 · 74 · 612 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -6 -6 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1164,44100] |
[a1,a2,a3,a4,a6] |
Generators |
[24:-294:1] [0:210:1] |
Generators of the group modulo torsion |
j |
680721596336/3618319005 |
j-invariant |
L |
8.2880019058458 |
L(r)(E,1)/r! |
Ω |
0.63690195532186 |
Real period |
R |
1.0844162429022 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999991 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
102480bh2 76860l2 128100m2 |
Quadratic twists by: -4 -3 5 |