Atkin-Lehner |
37+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
121841a |
Isogeny class |
Conductor |
121841 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
8437824 |
Modular degree for the optimal curve |
Δ |
751955398770493 = 377 · 892 |
Discriminant |
Eigenvalues |
0 3 4 -3 -5 4 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-11611858,-15230027459] |
[a1,a2,a3,a4,a6] |
Generators |
[-280393389561959753255191016310:994279745249188140117114449:142521620396221237504906152] |
Generators of the group modulo torsion |
j |
67486750378131456/293077 |
j-invariant |
L |
12.372838608409 |
L(r)(E,1)/r! |
Ω |
0.081785088077895 |
Real period |
R |
37.821193628306 |
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 |
3293c1 |
Quadratic twists by: 37 |