Atkin-Lehner |
2+ 13- 67- |
Signs for the Atkin-Lehner involutions |
Class |
116714d |
Isogeny class |
Conductor |
116714 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
609840 |
Modular degree for the optimal curve |
Δ |
-150522747929216 = -1 · 27 · 13 · 676 |
Discriminant |
Eigenvalues |
2+ 3 1 -1 2 13- -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-12064,-777088] |
[a1,a2,a3,a4,a6] |
Generators |
[114760696194716967:5561796651306082937:47749180545639] |
Generators of the group modulo torsion |
j |
-2146689/1664 |
j-invariant |
L |
10.84636676869 |
L(r)(E,1)/r! |
Ω |
0.22040066490242 |
Real period |
R |
24.606020978865 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
26b1 |
Quadratic twists by: -67 |