Atkin-Lehner |
2- 3+ 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
73644c |
Isogeny class |
Conductor |
73644 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
345600 |
Modular degree for the optimal curve |
Δ |
-945301543375104 = -1 · 28 · 35 · 17 · 197 |
Discriminant |
Eigenvalues |
2- 3+ 3 3 0 -4 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-30444,2533752] |
[a1,a2,a3,a4,a6] |
Generators |
[89:722:1] |
Generators of the group modulo torsion |
j |
-259108432/78489 |
j-invariant |
L |
7.7250521339038 |
L(r)(E,1)/r! |
Ω |
0.46975021950661 |
Real period |
R |
1.3704184003589 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000167 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3876e1 |
Quadratic twists by: -19 |