Atkin-Lehner |
2+ 3+ 5+ 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
72240h |
Isogeny class |
Conductor |
72240 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-10356346627200000 = -1 · 210 · 36 · 55 · 74 · 432 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -2 -2 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,47704,2793120] |
[a1,a2,a3,a4,a6] |
Generators |
[134:3402:1] |
Generators of the group modulo torsion |
j |
11724087216306524/10113619753125 |
j-invariant |
L |
4.1887649502047 |
L(r)(E,1)/r! |
Ω |
0.26401581053031 |
Real period |
R |
1.9831979665259 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003843 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36120k2 |
Quadratic twists by: -4 |