Atkin-Lehner |
3+ 5- 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
7455c |
Isogeny class |
Conductor |
7455 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
40849113375 = 33 · 53 · 74 · 712 |
Discriminant |
Eigenvalues |
1 3+ 5- 7- 4 0 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-17927,-931326] |
[a1,a2,a3,a4,a6] |
j |
637212695259200761/40849113375 |
j-invariant |
L |
2.4755540709615 |
L(r)(E,1)/r! |
Ω |
0.41259234516026 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
119280cf2 22365d2 37275h2 52185k2 |
Quadratic twists by: -4 -3 5 -7 |