Atkin-Lehner |
2+ 3+ 5+ 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
108240d |
Isogeny class |
Conductor |
108240 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
297984 |
Modular degree for the optimal curve |
Δ |
-3666332989440 = -1 · 211 · 38 · 5 · 113 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 11- -1 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-36256,2670880] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:1782:1] |
Generators of the group modulo torsion |
j |
-2573625807441218/1790201655 |
j-invariant |
L |
6.1510388815038 |
L(r)(E,1)/r! |
Ω |
0.78073144191893 |
Real period |
R |
0.65654660134903 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999746472 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54120l1 |
Quadratic twists by: -4 |