Atkin-Lehner |
2+ 3- 31+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
104904f |
Isogeny class |
Conductor |
104904 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
1226880 |
Modular degree for the optimal curve |
Δ |
4805214160896 = 211 · 36 · 31 · 473 |
Discriminant |
Eigenvalues |
2+ 3- 3 -1 2 4 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3736371,-2779861138] |
[a1,a2,a3,a4,a6] |
Generators |
[-3802236628437862448354:657983996416481893:3406946772878434232] |
Generators of the group modulo torsion |
j |
3863813978842917986/3218513 |
j-invariant |
L |
9.2617267440225 |
L(r)(E,1)/r! |
Ω |
0.10858930575142 |
Real period |
R |
28.430444661601 |
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 |
11656c1 |
Quadratic twists by: -3 |