Atkin-Lehner |
2+ 5+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
109120h |
Isogeny class |
Conductor |
109120 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
595358720 = 210 · 5 · 112 · 312 |
Discriminant |
Eigenvalues |
2+ 0 5+ -2 11- 0 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-848,-9432] |
[a1,a2,a3,a4,a6] |
Generators |
[-126:33:8] |
Generators of the group modulo torsion |
j |
65858420736/581405 |
j-invariant |
L |
4.5590088231274 |
L(r)(E,1)/r! |
Ω |
0.88518068289254 |
Real period |
R |
2.5751854497448 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999850128 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
109120t1 6820a1 |
Quadratic twists by: -4 8 |