Atkin-Lehner |
2- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
12320m |
Isogeny class |
Conductor |
12320 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
1897280 = 26 · 5 · 72 · 112 |
Discriminant |
Eigenvalues |
2- -2 5- 7- 11- 0 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-330,-2420] |
[a1,a2,a3,a4,a6] |
Generators |
[33:154:1] |
Generators of the group modulo torsion |
j |
62287505344/29645 |
j-invariant |
L |
3.6022717406468 |
L(r)(E,1)/r! |
Ω |
1.1198861156961 |
Real period |
R |
1.6083205649923 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12320g1 24640bm2 110880be1 61600h1 |
Quadratic twists by: -4 8 -3 5 |