Atkin-Lehner |
3- 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
119025cy |
Isogeny class |
Conductor |
119025 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
48205125 = 36 · 53 · 232 |
Discriminant |
Eigenvalues |
-2 3- 5- -4 -3 -4 -8 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-345,-2444] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:4:1] [-10:2:1] |
Generators of the group modulo torsion |
j |
94208 |
j-invariant |
L |
4.5240360952278 |
L(r)(E,1)/r! |
Ω |
1.1084682437153 |
Real period |
R |
1.0203350730189 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999977158 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13225l1 119025cr1 119025cx1 |
Quadratic twists by: -3 5 -23 |