Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
11760co |
Isogeny class |
Conductor |
11760 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
1865262437498880 = 224 · 33 · 5 · 77 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-32160,-791820] |
[a1,a2,a3,a4,a6] |
Generators |
[-117:1176:1] |
Generators of the group modulo torsion |
j |
7633736209/3870720 |
j-invariant |
L |
5.99446252387 |
L(r)(E,1)/r! |
Ω |
0.37615494170437 |
Real period |
R |
2.6560254207609 |
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 |
1470m1 47040ec1 35280dy1 58800fd1 |
Quadratic twists by: -4 8 -3 5 |