Atkin-Lehner |
3- 5+ 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
83475bb |
Isogeny class |
Conductor |
83475 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2015764734375 = 38 · 56 · 7 · 532 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 2 -2 8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-7655,250472] |
[a1,a2,a3,a4,a6] |
Generators |
[3:475:1] |
Generators of the group modulo torsion |
j |
4354703137/176967 |
j-invariant |
L |
4.3543383273822 |
L(r)(E,1)/r! |
Ω |
0.82087130316598 |
Real period |
R |
1.3261330702715 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002575 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27825p2 3339b2 |
Quadratic twists by: -3 5 |