Atkin-Lehner |
2- 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
115600ci |
Isogeny class |
Conductor |
115600 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1880064 |
Modular degree for the optimal curve |
Δ |
-2232242381120000000 = -1 · 212 · 57 · 178 |
Discriminant |
Eigenvalues |
2- -1 5+ -5 -2 -2 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,286592,-41082688] |
[a1,a2,a3,a4,a6] |
Generators |
[482:-14450:1] |
Generators of the group modulo torsion |
j |
5831/5 |
j-invariant |
L |
1.1416884573587 |
L(r)(E,1)/r! |
Ω |
0.14320649419012 |
Real period |
R |
0.66436022607197 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000622738 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7225g1 23120w1 115600bk1 |
Quadratic twists by: -4 5 17 |