Atkin-Lehner |
2+ 3- 5- 23+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
84870j |
Isogeny class |
Conductor |
84870 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2211840 |
Modular degree for the optimal curve |
Δ |
790233176809281600 = 26 · 316 · 52 · 234 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 6 6 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-517419,136851525] |
[a1,a2,a3,a4,a6] |
Generators |
[94:9389:1] |
Generators of the group modulo torsion |
j |
21014727981221017009/1083996127310400 |
j-invariant |
L |
6.0424548009576 |
L(r)(E,1)/r! |
Ω |
0.2794593508727 |
Real period |
R |
5.4054863233487 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007713 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28290v1 |
Quadratic twists by: -3 |