Atkin-Lehner |
3- 5+ 17+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
113475j |
Isogeny class |
Conductor |
113475 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
3391488 |
Modular degree for the optimal curve |
Δ |
813828515625 = 34 · 58 · 172 · 89 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 4 -6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-27127626,54381068023] |
[a1,a2,a3,a4,a6] |
Generators |
[23246:64873:8] |
Generators of the group modulo torsion |
j |
141298981394596339723921/52085025 |
j-invariant |
L |
9.4071881495714 |
L(r)(E,1)/r! |
Ω |
0.37414916288363 |
Real period |
R |
3.1428602227535 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999976979 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22695b1 |
Quadratic twists by: 5 |