Atkin-Lehner |
3+ 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
62475x |
Isogeny class |
Conductor |
62475 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
5857127891015625 = 32 · 58 · 78 · 172 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7- 4 -2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-52088,2694656] |
[a1,a2,a3,a4,a6] |
Generators |
[6:1540:1] |
Generators of the group modulo torsion |
j |
8502154921/3186225 |
j-invariant |
L |
3.112361914474 |
L(r)(E,1)/r! |
Ω |
0.3892356116714 |
Real period |
R |
1.9990218143153 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997302 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
12495j2 8925r2 |
Quadratic twists by: 5 -7 |