Atkin-Lehner |
5- 7- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
11725f |
Isogeny class |
Conductor |
11725 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
848 |
Modular degree for the optimal curve |
Δ |
58625 = 53 · 7 · 67 |
Discriminant |
Eigenvalues |
1 0 5- 7- 2 0 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-47,136] |
[a1,a2,a3,a4,a6] |
Generators |
[-58:89:8] |
Generators of the group modulo torsion |
j |
92959677/469 |
j-invariant |
L |
5.3619122558528 |
L(r)(E,1)/r! |
Ω |
3.5360335046814 |
Real period |
R |
3.0327270648053 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
105525bp1 11725e1 82075j1 |
Quadratic twists by: -3 5 -7 |