Atkin-Lehner |
3- 7- 17+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
117453p |
Isogeny class |
Conductor |
117453 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-5134458717171 = -1 · 33 · 77 · 173 · 47 |
Discriminant |
Eigenvalues |
0 3- 1 7- -2 -5 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-65,-109042] |
[a1,a2,a3,a4,a6] |
Generators |
[72:514:1] |
Generators of the group modulo torsion |
j |
-262144/43642179 |
j-invariant |
L |
5.7127105856425 |
L(r)(E,1)/r! |
Ω |
0.35035189727379 |
Real period |
R |
2.717606034241 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008417 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16779f1 |
Quadratic twists by: -7 |