Atkin-Lehner |
5+ 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
62465i |
Isogeny class |
Conductor |
62465 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
82432 |
Modular degree for the optimal curve |
Δ |
-393334296875 = -1 · 57 · 132 · 313 |
Discriminant |
Eigenvalues |
-2 -1 5+ 2 0 13- 1 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-3296,-77748] |
[a1,a2,a3,a4,a6] |
Generators |
[114:1007:1] |
Generators of the group modulo torsion |
j |
-132963364864/13203125 |
j-invariant |
L |
2.497970560261 |
L(r)(E,1)/r! |
Ω |
0.31327308706884 |
Real period |
R |
1.9934449073613 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000553 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62465e1 |
Quadratic twists by: -31 |