Atkin-Lehner |
2+ 3- 17- 41- |
Signs for the Atkin-Lehner involutions |
Class |
12546h |
Isogeny class |
Conductor |
12546 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
21332616192 = 210 · 36 · 17 · 412 |
Discriminant |
Eigenvalues |
2+ 3- -4 0 -2 -2 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5454,156244] |
[a1,a2,a3,a4,a6] |
Generators |
[-84:170:1] [-37:572:1] |
Generators of the group modulo torsion |
j |
24614236831969/29262848 |
j-invariant |
L |
4.0301175068192 |
L(r)(E,1)/r! |
Ω |
1.2062421263054 |
Real period |
R |
1.6705259329503 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999967 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100368cg1 1394f1 |
Quadratic twists by: -4 -3 |