Atkin-Lehner |
2- 53- |
Signs for the Atkin-Lehner involutions |
Class |
848g |
Isogeny class |
Conductor |
848 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
240 |
Modular degree for the optimal curve |
Δ |
-6946816 = -1 · 217 · 53 |
Discriminant |
Eigenvalues |
2- -2 1 2 -5 -4 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-440,3412] |
[a1,a2,a3,a4,a6] |
Generators |
[6:32:1] |
Generators of the group modulo torsion |
j |
-2305199161/1696 |
j-invariant |
L |
1.8785649167576 |
L(r)(E,1)/r! |
Ω |
2.3425055206605 |
Real period |
R |
0.20048671179097 |
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 |
106d1 3392m1 7632g1 21200k1 |
Quadratic twists by: -4 8 -3 5 |