Atkin-Lehner |
2- 5+ 11- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
36850t |
Isogeny class |
Conductor |
36850 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
-3400322252800 = -1 · 224 · 52 · 112 · 67 |
Discriminant |
Eigenvalues |
2- -2 5+ -4 11- -6 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-7383,259177] |
[a1,a2,a3,a4,a6] |
Generators |
[-42:725:1] |
Generators of the group modulo torsion |
j |
-1780270458080665/136012890112 |
j-invariant |
L |
4.1479841773832 |
L(r)(E,1)/r! |
Ω |
0.77808260901758 |
Real period |
R |
0.11106319049839 |
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 |
36850p1 |
Quadratic twists by: 5 |