Atkin-Lehner |
3- 5+ 7+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
37275h |
Isogeny class |
Conductor |
37275 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
638267396484375 = 33 · 59 · 74 · 712 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7+ 4 0 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-448188,-115519383] |
[a1,a2,a3,a4,a6] |
Generators |
[6726:77487:8] |
Generators of the group modulo torsion |
j |
637212695259200761/40849113375 |
j-invariant |
L |
4.6621678441637 |
L(r)(E,1)/r! |
Ω |
0.18451690615488 |
Real period |
R |
4.2111478575048 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999997 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
111825e2 7455c2 |
Quadratic twists by: -3 5 |