Atkin-Lehner |
3- 5- 7+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
67725be |
Isogeny class |
Conductor |
67725 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
93696 |
Modular degree for the optimal curve |
Δ |
-77760151875 = -1 · 310 · 54 · 72 · 43 |
Discriminant |
Eigenvalues |
2 3- 5- 7+ -5 1 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-75,-13419] |
[a1,a2,a3,a4,a6] |
Generators |
[4258:98213:8] |
Generators of the group modulo torsion |
j |
-102400/170667 |
j-invariant |
L |
11.046869409033 |
L(r)(E,1)/r! |
Ω |
0.49143989787837 |
Real period |
R |
5.6196441607619 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999206 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22575r1 67725bb1 |
Quadratic twists by: -3 5 |