Atkin-Lehner |
2- 3+ 23+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
36846p |
Isogeny class |
Conductor |
36846 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
41760 |
Modular degree for the optimal curve |
Δ |
-1320258797568 = -1 · 215 · 39 · 23 · 89 |
Discriminant |
Eigenvalues |
2- 3+ 0 2 0 1 1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1325,58645] |
[a1,a2,a3,a4,a6] |
Generators |
[31:200:1] |
Generators of the group modulo torsion |
j |
-13060888875/67076096 |
j-invariant |
L |
9.8797906354556 |
L(r)(E,1)/r! |
Ω |
0.74365224403589 |
Real period |
R |
0.4428499438499 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36846c1 |
Quadratic twists by: -3 |