Atkin-Lehner |
2- 3- 5+ 19+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
88350cm |
Isogeny class |
Conductor |
88350 |
Conductor |
∏ cp |
380 |
Product of Tamagawa factors cp |
deg |
802560 |
Modular degree for the optimal curve |
Δ |
5862481920000000 = 219 · 35 · 57 · 19 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 -5 -5 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-98813,11365617] |
[a1,a2,a3,a4,a6] |
Generators |
[-158:4879:1] |
Generators of the group modulo torsion |
j |
6828828647652361/375198842880 |
j-invariant |
L |
11.842931513681 |
L(r)(E,1)/r! |
Ω |
0.42000415769856 |
Real period |
R |
0.074203096940081 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005643 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17670a1 |
Quadratic twists by: 5 |