Atkin-Lehner |
5- 17+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
114155j |
Isogeny class |
Conductor |
114155 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
2778624 |
Modular degree for the optimal curve |
Δ |
-5753394592643889875 = -1 · 53 · 1712 · 79 |
Discriminant |
Eigenvalues |
2 1 5- 1 5 0 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-1490180,-710118119] |
[a1,a2,a3,a4,a6] |
Generators |
[33601225019669042380:1603876802442376632067:11665575584006336] |
Generators of the group modulo torsion |
j |
-15161656961880064/238358493875 |
j-invariant |
L |
20.225804321383 |
L(r)(E,1)/r! |
Ω |
0.068258102736555 |
Real period |
R |
24.692800207966 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6715c1 |
Quadratic twists by: 17 |