Atkin-Lehner |
3+ 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
119025n |
Isogeny class |
Conductor |
119025 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
66240 |
Modular degree for the optimal curve |
Δ |
-4722316875 = -1 · 33 · 54 · 234 |
Discriminant |
Eigenvalues |
0 3+ 5- 5 0 2 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,0,3306] |
[a1,a2,a3,a4,a6] |
Generators |
[140:1657:1] |
Generators of the group modulo torsion |
j |
0 |
j-invariant |
L |
7.3782732616244 |
L(r)(E,1)/r! |
Ω |
1.0898575241628 |
Real period |
R |
3.3849714720254 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007994 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
119025n2 119025d1 119025o1 |
Quadratic twists by: -3 5 -23 |