Atkin-Lehner |
2- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
113288bc |
Isogeny class |
Conductor |
113288 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1327104 |
Modular degree for the optimal curve |
Δ |
-5950265291113472 = -1 · 210 · 72 · 179 |
Discriminant |
Eigenvalues |
2- -3 2 7- -5 7 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-26299,-4058138] |
[a1,a2,a3,a4,a6] |
Generators |
[6222:39304:27] |
Generators of the group modulo torsion |
j |
-1660932/4913 |
j-invariant |
L |
4.2896461787331 |
L(r)(E,1)/r! |
Ω |
0.17337769491197 |
Real period |
R |
3.0927032935547 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000079418 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113288s1 6664f1 |
Quadratic twists by: -7 17 |