Atkin-Lehner |
2+ 7- 17+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
88298j |
Isogeny class |
Conductor |
88298 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
437760 |
Modular degree for the optimal curve |
Δ |
-23146790912 = -1 · 219 · 72 · 17 · 53 |
Discriminant |
Eigenvalues |
2+ -3 2 7- 0 -2 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-70786,7266580] |
[a1,a2,a3,a4,a6] |
Generators |
[153:-58:1] |
Generators of the group modulo torsion |
j |
-800521864986420297/472383488 |
j-invariant |
L |
2.5906706741362 |
L(r)(E,1)/r! |
Ω |
0.98993476800655 |
Real period |
R |
2.6170114974123 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000017659 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88298c1 |
Quadratic twists by: -7 |