Atkin-Lehner |
2+ 3- 7- 11- 67- |
Signs for the Atkin-Lehner involutions |
Class |
92862ba |
Isogeny class |
Conductor |
92862 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
3686400 |
Modular degree for the optimal curve |
Δ |
-3366016652473187328 = -1 · 210 · 310 · 7 · 116 · 672 |
Discriminant |
Eigenvalues |
2+ 3- -4 7- 11- -6 -8 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,349461,38242309] |
[a1,a2,a3,a4,a6] |
Generators |
[246:-11915:1] |
Generators of the group modulo torsion |
j |
6474282279263022671/4617306793516032 |
j-invariant |
L |
1.5755397607991 |
L(r)(E,1)/r! |
Ω |
0.15929757511615 |
Real period |
R |
0.82421204648637 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999756118 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30954w1 |
Quadratic twists by: -3 |