Atkin-Lehner |
2- 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
12320h |
Isogeny class |
Conductor |
12320 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
87040 |
Modular degree for the optimal curve |
Δ |
19928242069440320 = 26 · 5 · 74 · 1110 |
Discriminant |
Eigenvalues |
2- 2 5- 7+ 11- -4 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-69690,2026532] |
[a1,a2,a3,a4,a6] |
j |
584872717700154304/311378782335005 |
j-invariant |
L |
3.3703705991882 |
L(r)(E,1)/r! |
Ω |
0.33703705991882 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12320k1 24640bd2 110880y1 61600s1 |
Quadratic twists by: -4 8 -3 5 |