Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
100800fi |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
235146240000000 = 216 · 38 · 57 · 7 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 4 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6048300,-5725298000] |
[a1,a2,a3,a4,a6] |
Generators |
[1278020:179159175:64] |
Generators of the group modulo torsion |
j |
32779037733124/315 |
j-invariant |
L |
7.7286898832014 |
L(r)(E,1)/r! |
Ω |
0.096270055866911 |
Real period |
R |
10.035168554384 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.999999991867 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100800mc4 12600ce3 33600dc4 20160cb3 |
Quadratic twists by: -4 8 -3 5 |