Atkin-Lehner |
2- 3+ 5- 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
115440bw |
Isogeny class |
Conductor |
115440 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
81920 |
Modular degree for the optimal curve |
Δ |
3989606400 = 212 · 34 · 52 · 13 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 -2 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3960,97200] |
[a1,a2,a3,a4,a6] |
Generators |
[20:160:1] |
Generators of the group modulo torsion |
j |
1677100110841/974025 |
j-invariant |
L |
7.303881275574 |
L(r)(E,1)/r! |
Ω |
1.3753392499029 |
Real period |
R |
1.3276508538035 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999424443 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7215i1 |
Quadratic twists by: -4 |