Atkin-Lehner |
3+ 7- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
82467d |
Isogeny class |
Conductor |
82467 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
311040 |
Modular degree for the optimal curve |
Δ |
890749179118953 = 39 · 76 · 113 · 172 |
Discriminant |
Eigenvalues |
-1 3+ 2 7- 11- 2 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-29189,-1266380] |
[a1,a2,a3,a4,a6] |
Generators |
[-115:805:1] |
Generators of the group modulo torsion |
j |
1187648379/384659 |
j-invariant |
L |
4.7659446096593 |
L(r)(E,1)/r! |
Ω |
0.37465684169704 |
Real period |
R |
2.1201377185046 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000405 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
82467c1 1683d1 |
Quadratic twists by: -3 -7 |