Atkin-Lehner |
2- 5- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
12320g |
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 |
[2:42:1] |
Generators of the group modulo torsion |
j |
62287505344/29645 |
j-invariant |
L |
6.6812287061307 |
L(r)(E,1)/r! |
Ω |
2.594684047978 |
Real period |
R |
1.2874840602148 |
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 |
12320m1 24640bh2 110880bb1 61600l1 |
Quadratic twists by: -4 8 -3 5 |