Atkin-Lehner |
7- 17+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
107219k |
Isogeny class |
Conductor |
107219 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
179712 |
Modular degree for the optimal curve |
Δ |
152235647683 = 7 · 177 · 53 |
Discriminant |
Eigenvalues |
-1 1 2 7- 5 -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-34397,2452502] |
[a1,a2,a3,a4,a6] |
Generators |
[551:12007:1] |
Generators of the group modulo torsion |
j |
186463002097/6307 |
j-invariant |
L |
6.5285895358424 |
L(r)(E,1)/r! |
Ω |
0.95977795534042 |
Real period |
R |
3.4010937012458 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000028853 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6307e1 |
Quadratic twists by: 17 |