Atkin-Lehner |
3- 11- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
2343h |
Isogeny class |
Conductor |
2343 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1152 |
Modular degree for the optimal curve |
Δ |
620021061 = 38 · 113 · 71 |
Discriminant |
Eigenvalues |
-2 3- -1 -1 11- 1 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-346,-2288] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:16:1] |
Generators of the group modulo torsion |
j |
4594165018624/620021061 |
j-invariant |
L |
1.8310700756969 |
L(r)(E,1)/r! |
Ω |
1.1165772256573 |
Real period |
R |
0.068328983194562 |
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 |
37488n1 7029e1 58575e1 114807k1 |
Quadratic twists by: -4 -3 5 -7 |