Atkin-Lehner |
3+ 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
119025o |
Isogeny class |
Conductor |
119025 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1523520 |
Modular degree for the optimal curve |
Δ |
-699072376730326875 = -1 · 33 · 54 · 2310 |
Discriminant |
Eigenvalues |
0 3+ 5- -5 0 2 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,0,-40227144] |
[a1,a2,a3,a4,a6] |
Generators |
[3924908072:394231410616:389017] |
Generators of the group modulo torsion |
j |
0 |
j-invariant |
L |
4.5322189166887 |
L(r)(E,1)/r! |
Ω |
0.13120342778828 |
Real period |
R |
17.271724500987 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
119025o2 119025a1 119025n1 |
Quadratic twists by: -3 5 -23 |