Atkin-Lehner |
3- 5+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
99405l |
Isogeny class |
Conductor |
99405 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
953856 |
Modular degree for the optimal curve |
Δ |
-46166031852190875 = -1 · 36 · 53 · 477 |
Discriminant |
Eigenvalues |
-2 3- 5+ -2 0 -3 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,72897,7034008] |
[a1,a2,a3,a4,a6] |
Generators |
[-94:19877:8] |
Generators of the group modulo torsion |
j |
5451776/5875 |
j-invariant |
L |
2.1224676932191 |
L(r)(E,1)/r! |
Ω |
0.2379361706385 |
Real period |
R |
2.2300809516474 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000027438 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11045e1 2115i1 |
Quadratic twists by: -3 -47 |