Atkin-Lehner |
3+ 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
62475i |
Isogeny class |
Conductor |
62475 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
581273184599296875 = 312 · 57 · 77 · 17 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7- -4 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3905938,2969375156] |
[a1,a2,a3,a4,a6] |
j |
3585019225176649/316207395 |
j-invariant |
L |
1.1105343848453 |
L(r)(E,1)/r! |
Ω |
0.27763359596715 |
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 |
12495p4 8925u3 |
Quadratic twists by: 5 -7 |